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Spontaneous scalarization of Bardeen black holes 巴丁黑洞的自发标量化
Pub Date : 2024-09-18 DOI: arxiv-2409.11669
Lina Zhang, Qiyuan Pan, Yun Soo Myung, De-Cheng Zou
We study the spontaneous scalarization of Bardeen black holes, whosetachyonic instability triggers the formation of scalarized charged black holes(SCBHs). In this case, we find infinite ($n=0,1,2,cdots$) branches of SCBHswith magnetic charge $g$. The $n = 0$ branch of SCBHs can be found for thecoupling parameter $alpha geq alpha_{n=0}(g)$ with both quadratic (1-$alphavarphi^2$) and exponential ($e^{-alpha varphi^2}$) couplings, where$alpha_{n=0}(g)$ represents the threshold of tachyonic instability for theBardeen black holes. Furthermore, it is shown that the $n = 0$ branch for bothcouplings is stable against radial perturbations. This stability shows thatthis branch can be used for further observational implications.
我们研究了巴丁黑洞的自发标量化,它的不稳定性引发了标量化带电黑洞(SCBHs)的形成。在这种情况下,我们发现了磁荷为$g$的SCBH的无限($n=0,1,2,cdots$)分支。在耦合参数$alpha geq alpha_{n=0}(g)$为二次(1-$alphavarphi^2$)和指数($e^{-alpha varphi^2}$)耦合的情况下,可以找到$n=0$的SCBH分支,其中$alpha_{n=0}(g)$代表了巴丁黑洞超音速不稳定性的临界值。此外,研究还表明这两种耦合的 $n = 0$ 分支在对抗径向扰动时是稳定的。这种稳定性表明该分支可用于进一步的观测。
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引用次数: 0
Holographic Einstein Rings of AdS Black Holes in Horndeski Theory 霍恩德斯基理论中 AdS 黑洞的全息爱因斯坦环
Pub Date : 2024-09-18 DOI: arxiv-2409.11885
Zhi Luo, Ke-Jian He, Jin Li
By utilizing the AdS/CFT correspondence and wave optics techniques, weconducted an extensive study of the imaging properties of holographic Einsteinrings in the context of Anti-de Sitter (AdS) black holes (BHs) in Horndeskitheory. Our results indicate that the optical characteristics of theseholographic Einstein rings are significantly influenced by the observer'sposition, the physical parameters of the BH, the nature of the wave source, andthe configuration of the optical system. Specifically, when the observer ispositioned at the north pole of the AdS boundary, the holographic imageprominently displays a ring structure aligning with the BH's photon sphere. Wethoroughly analyzed how various physical parameters -- including theobservation position, event horizon radius, temperature, and the parameter$gamma$ in Horndeski theory -- affect the holographic Einstein rings. Theseparameters play a crucial role in determining the rings' radius and brightness,with variations potentially causing the ring structures to deform or eventransform into bright spots. Furthermore, our comparative analysis between waveoptics and geometric optics reveals a strong agreement in predicting thepositions and brightnesses of both the photon ring and the Einstein ring. Thisresearch offers new insights into the spacetime geometry of BHs in Horndeskitheory and proposes a promising framework for exploring the gravitational dualsof strongly coupled systems.
通过利用AdS/CFT对应关系和波光学技术,我们在霍恩德斯基理论中的反德西特(AdS)黑洞(BHs)背景下对全息爱因斯坦环的成像特性进行了广泛研究。我们的研究结果表明,这些全息爱因斯坦环的光学特性受到观测者位置、黑洞物理参数、波源性质和光学系统配置的显著影响。具体地说,当观察者位于 AdS 边界的北极时,全息图像会明显地显示出与 BH 的光子球对齐的环状结构。我们深入分析了各种物理参数--包括观测位置、事件视界半径、温度和霍恩德斯基理论中的参数(gamma)--是如何影响全息爱因斯坦环的。这些参数在决定光环的半径和亮度方面起着至关重要的作用,其变化有可能导致光环结构变形,甚至转变为亮点。此外,我们对波光学和几何光学的比较分析表明,两者在预测光子环和爱因斯坦环的位置和亮度方面具有很强的一致性。这项研究为霍恩德斯基理论中的玻色子时空几何提供了新的见解,并为探索强耦合系统的引力对偶性提出了一个前景广阔的框架。
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引用次数: 0
Matter Geometry Coupling and Casimir Wormhole Geometry 物质几何耦合与卡西米尔虫洞几何
Pub Date : 2024-09-18 DOI: arxiv-2409.12160
A. S. Agrawal, Sankarsan Tarai, B. Mishra, S. K. Tripathy
In this study, we investigate traversable wormhole solutions within the setupof $f(R,mathcal{L}_{m})$ gravity, a modified theory of gravity where thegravitational action relies upon the matter Lagrangian $mathcal{L}_{m}$ andthe Ricci scalar $R$. In General Relativity (GR), stability issues intraversable wormholes necessitate the existence of exotic matter that violatesthe null energy condition (NEC). In contrast, we explore wormhole solutionsthat align with the criteria for Casimir wormholes, which do not necessarilyrequire NEC violation. Our analysis demonstrates that in the context of$f(R,mathcal{L}_{m})$ gravity, exotic matter can sustain these wormholes. Wefurther examine the traversability conditions of the wormhole, considering bothscenarios with and without the Generalized Uncertainty Principle (GUP)correction. Additionally, the stability of the wormhole is assessed based onequilibrium conditions. Our findings suggest that $f(R,mathcal{L}_{m})$gravity offers a viable framework for the existence of stable, traversablewormholes sustained by exotic matter, potentially expanding the landscape ofviable wormhole solutions beyond the confines of GR.
在本研究中,我们研究了在$f(R,mathcal{L}_{m})$引力条件下的可穿越虫洞方案,这是一种修正的引力理论,其引力作用依赖于物质拉格朗日$mathcal{L}_{m}$和里奇标量$R$。在广义相对论(GR)中,要解决可穿越虫洞的稳定性问题,就必须存在违反空能条件(NEC)的奇异物质。与此相反,我们探索了符合卡西米尔虫洞标准的虫洞解决方案,它并不一定要求违反 NEC。我们的分析表明,在$f(R,mathcal{L}_{m})$引力背景下,奇异物质可以维持这些虫洞。我们进一步研究了虫洞的可穿越性条件,考虑了广义不确定性原理(GUP)修正和不修正两种情况。此外,我们还根据平衡条件评估了虫洞的稳定性。我们的研究结果表明,$f(R,mathcal{L}_{m})$引力为奇异物质维持的稳定、可穿越虫洞的存在提供了一个可行的框架,有可能将可行虫洞解决方案的范围扩大到GR的范围之外。
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引用次数: 0
Magnetic Reconnection and Energy Extraction from a Konoplya-Zhidenko rotating non-Kerr black hole 科诺普赖亚-日登科旋转非克尔黑洞的磁再连接与能量提取
Pub Date : 2024-09-18 DOI: arxiv-2409.11942
Fen Long, Shangyun Wang, Songbai Chen, Jiliang Jing
Recently, magnetic reconnection has attracted considerable attention as anovel energy extraction mechanism, relying on the rapid reconnection ofmagnetic field lines within the ergosphere. We have investigated the propertiesof the energy extraction via magnetic reconnection in a Konoplya-Zhidenkorotating non-Kerr black hole spacetime with an extra deformation parameter. Ourresults show that the positive deformation parameter expands the possibleregion of energy extraction and improves the maximum power, maximum efficiency,and the maximum ratio of energy extraction between magnetic reconnection andthe Blandford-Znajek process. This means that in the Konoplya-Zhidenko rotatingnon-Kerr black hole spacetime one can extract more energy via magneticreconnection than in the Kerr black hole case. These effects of the deformationparameter may provide valuable clues for future astronomical observations ofblack holes and verification of gravity theories.
最近,磁重联作为一种新的能量提取机制引起了广泛关注,它依赖于麦积层内磁场线的快速重联。我们研究了在具有额外形变参数的科诺普利亚-日登科向非克尔黑洞时空中通过磁再连接提取能量的特性。我们的研究结果表明,正变形参数扩大了能量提取的可能区域,提高了磁重联与布兰福-兹纳杰克过程的最大功率、最大效率和能量提取的最大比率。这意味着,在科诺普利亚-日登科旋转非克尔黑洞时空中,通过磁重联提取的能量比克尔黑洞情况下更多。变形参数的这些影响可能会为未来的黑洞天文观测和引力理论验证提供有价值的线索。
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引用次数: 0
Multi-field TDiff theories for cosmology 宇宙学多场 TDiff 理论
Pub Date : 2024-09-18 DOI: arxiv-2409.11991
Diego Tessainer, Antonio L. Maroto, Prado Martín-Moruno
We consider theories which break the invariance under diffeomorphisms (Diff)down to transverse diffeomorphisms (TDiff) in the matter sector, consisting ofmultiple scalar fields. In particular, we regard shift-symmetric models withtwo free TDiff scalar fields in a flat Robertson-Walker spacetime and use theperfect fluid approach to study their dynamics. As a consequence of thesymmetry breaking, an effective interaction between the fields is induced fromthe conservation of the total energy-momentum tensor, without the necessity tointroduce any explicit interacting term in the Lagrangian. We study thedifferent single-field domination regimes and analyze the energy exchangebetween the fields. Thereupon, we introduce an application of these models forthe description of interactions in the dark sector, and compare the theoreticalpredictions of our model to observational data from Type Ia supernovae.
我们考虑的理论打破了差分变形(Diff)下的不变性,在物质扇区中变成了横向差分变形(TDiff),由多个标量场组成。特别是,我们考虑了在平坦的罗伯逊-沃克时空中具有两个自由 TDiff 标量场的位移对称模型,并使用完全流体方法来研究它们的动力学。由于对称性破缺,场之间的有效相互作用是由总能量张量守恒引起的,而无需在拉格朗日中引入任何显式相互作用项。我们研究了不同的单场支配状态,并分析了场之间的能量交换。然后,我们介绍了这些模型在描述暗部门相互作用中的应用,并将我们模型的理论预测与 Ia 型超新星的观测数据进行了比较。
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引用次数: 0
Field Sources for $f(R,R_{μν})$ Black-Bounce Solutions: The Case of K-Gravity $f(R,R_{μν})$黑弹解的场源:K引力案例
Pub Date : 2024-09-18 DOI: arxiv-2409.12101
G. Alencar, M. Nilton, Manuel E. Rodrigues, Marcos V. de S. Silva
In the framework of Simpson-Visser, the search for field sources that produceblack bounces in alternative gravity theories has remained unresolved. In thispaper, the first in a series exploring sources for alternative theories ofgravity, we identify such a source for the $2+1$ dimensional K-gravity blackbounce. The K-gravity black hole is notable for allowing asymptotically locallyflat solutions in lower-dimensional spacetime, yet it possesses curvaturesingularities concealed within the event horizon. Using the Simpson-Visserregularization technique, we eliminate this singularity, constructingasymptotically locally flat black-bounce solutions in $2+1$ dimensions. Weexplore the causal structure of these solutions, identifying the conditionsunder which they describe regular black holes or wormholes. By calculatingcurvature invariants, we confirm the absence of singularities within the eventhorizon. Additionally, we demonstrate that, beyond non-linear electrodynamics,a non-linear scalar field is required to source the solution. Finally, weinvestigate the geodesic structure of this spacetime, analyzing thetrajectories of both massive and massless particles. We also confirm theexistence of circular orbits and assess their stability.
在辛普森-维瑟的框架内,寻找在另类引力理论中产生黑弹的场源的问题一直悬而未决。本文是探索另类引力理论场源系列的第一篇论文,我们为 2+1$ 维 K 引力黑反弹确定了这样一个场源。K引力黑洞的显著特点是允许在低维时空中出现近似局部平坦的解,但它在事件视界内隐藏着曲率奇异性。我们利用辛普森-维塞尔正则化技术消除了这种奇异性,从而在 2+1 美元维度中构建了渐近局部平坦的黑洞反弹解。我们探索了这些解的因果结构,确定了它们描述规则黑洞或虫洞的条件。通过计算曲率不变量,我们证实在偶数边界内不存在奇点。此外,我们还证明,除了非线性电动力学之外,还需要一个非线性标量场作为解的来源。最后,我们研究了这个时空的大地结构,分析了大质量和无质量粒子的轨迹。我们还证实了圆形轨道的存在,并评估了其稳定性。
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引用次数: 0
Gravitational waves from primordial black hole isocurvature: the effect of non-Gaussianities 来自原始黑洞等曲率的引力波:非高斯性的影响
Pub Date : 2024-09-17 DOI: arxiv-2409.11333
Xin-Chen He, Yi-Fu Cai, Xiao-Han Ma, Theodoros Papanikolaou, Emmanuel N. Saridakis, Misao Sasaki
Ultra-light primordial black holes (PBHs) with masses $M_{rm PBH}<5times10^8mathrm{g}$ can dominate transiently the energy budget of the Universe andreheat the Universe through their evaporation taking place before Big BangNucleosynthesis. The isocurvature energy density fluctuations associated to theinhomogeneous distribution of a population of such PBHs can induce an abundantproduction of GWs due to second-order gravitational effects. In this work, wediscuss the effect of primordial non-Gaussianity on the clustering propertiesof PBHs and study the effect of a clustered PBH population on the spectralshape of the aforementioned induced GW signal. In particular, focusing onlocal-type non-Gaussianity we find a double-peaked GW signal with the amplitudeof the low-frequency peak being proportional to the square of the non-Gaussianparameter $tau_mathrm{NL}$. Remarkably, depending on the PBH mass $M_{rmPBH}$ and the initial abundance of PBHs at formation time, i.e.$Omega_mathrm{PBH,f}$, this double-peaked GW signal can lie well within thefrequency bands of forthcoming GW detectors, namely LISA, ET, SKA and BBO,hence rendering this signal falsifiable by GW experiments and promoting it as anovel portal probing the primordial non-Gaussianity.
质量为$M_{/rm PBH}<5/times10^8/mathrm{g}$的超轻原始黑洞(PBHs)可以瞬时支配宇宙的能量预算,并通过它们在大爆炸核合成之前发生的蒸发来加热宇宙。由于二阶引力效应,等曲率能量密度波动会诱发GW的大量产生。在这项工作中,我们讨论了原始非高斯性对 PBH 聚类特性的影响,并研究了聚类 PBH 群体对上述诱导 GW 信号光谱形状的影响。特别是,针对局部型非高斯性,我们发现了一个双峰GW信号,其低频峰的振幅与非高斯参数$tau_mathrm{NL}$的平方成正比。值得注意的是,根据PBH质量$M_{rmPBH}$和PBH形成时的初始丰度,即$Omega_mathrm{PBH,f}$,这个双峰GW信号可以位于即将到来的GW探测器,即LISA、ET、SKA和BBO的频带内,从而使这个信号可以被GW实验证伪,并将其作为探测原始非高斯性的一个新的入口。
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引用次数: 0
Assessing the potential of LIGO-India in resolving the Hubble Tension 评估 LIGO-India 在解决哈勃张力方面的潜力
Pub Date : 2024-09-17 DOI: arxiv-2409.11361
Kanchan Soni, Aditya Vijaykumar, Sanjit Mitra
Determining the Hubble constant (H0), a fundamental parameter describingcosmic expansion, remains a challenge due to conflicting measurements from theearly and late universe. Gravitational wave (GW) observations from binaryneutron star (BNS) mergers, with identified host galaxies throughelectromagnetic (EM) follow-up, offer an independent method to measure H0.However, this requires detection of numerous events, which could take decadeswith current GW detectors. LIGO-India can dramatically accelerate this effort.With sensitivity comparable to the existing LIGO detectors, its addition to theLIGO-Virgo network could increase detected events by 70%. This improvementnearly doubles when accounting for the detector's 70% duty cycle, increasingthe probability of simultaneous operation of three detectors by a factor of ~2.We perform end-to-end simulations to estimate triple-coincidence detectionrates and sky localization, considering realistic BNS populations, lightcurves,and EM observatory specifications. Our findings suggest LIGO-India couldincrease BNS events with observed kilonovae by ~2-7 times. The factor of fewimprovements in source localization precision with LIGO-India can allow muchdeeper EM follow-up campaigns (not considered in the simulations), potentiallyincreasing the overall rate of detection of EM counterparts by a factor of ~20,which can have an enormous impact in addressing critical questions in differentareas of astronomy. We evaluate the impact of LIGO-India in the context of H0measurement and argue that it can cut down the required observation time ofseveral decades by a factor of few and possibly to just few years with regularsensitivity upgrades.
哈勃常数(H0)是描述宇宙膨胀的一个基本参数,由于早期和晚期宇宙的测量结果相互矛盾,因此确定哈勃常数(H0)仍然是一个挑战。双中子星(BNS)合并产生的引力波(GW)观测,以及通过电磁(EM)跟踪确定的宿主星系,为测量哈勃常数提供了一种独立的方法。然而,这需要探测大量的事件,而目前的引力波探测器可能需要几十年的时间。LIGO-India的灵敏度与现有的LIGO探测器相当,将其加入LIGO-Virgo网络可以将探测到的事件增加70%。如果考虑到探测器70%的占空比,这种提高几乎会翻倍,使三个探测器同时工作的概率提高约2倍。我们进行了端到端模拟,以估计三重碰撞检测率和天空定位,并考虑了现实的BNS群、光曲线和电磁观测台规格。我们的研究结果表明,LIGO-India 可以使观测到千新星的 BNS 事件增加约 2-7 倍。LIGO-India在源定位精度上的几倍改进可以允许更深入的电磁跟踪活动(模拟中没有考虑),可能会将电磁对应物的总体探测率提高约20倍,这对解决天文学不同领域的关键问题会产生巨大影响。我们评估了 LIGO-India 在 H0 测量方面的影响,认为它可以将所需的几十年观测时间缩短数倍,如果定期升级灵敏度,可能只需几年时间。
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引用次数: 0
Mapping Anisotropies in the Stochastic Gravitational-Wave Background with TianQin 与天琴一起绘制随机引力波背景中的各向异性图
Pub Date : 2024-09-17 DOI: arxiv-2409.11245
Zhi-Yuan Li, Zheng-Cheng Liang, En-Kun Li, Jian-dong Zhang, Yi-Ming Hu
In the milli-Hertz frequency band, stochastic gravitational-wave backgroundcan be composed of both astronomical and cosmological sources, both can beanisotropic. Numerically depicting these anisotropies can be critical inrevealing the underlying properties of their origins. For the first time, weperform a theoretical analysis of the constraining ability of TianQin onmultiple moments of the stochastic background. First, we find that with aone-year operation, for a background with a signal-to-noise ratio of 16,TianQin can recover the multiple moments up to $l=4$. We also identified aunique feature of the stochastic background sky map, which is the mirrorsymmetry along the fixed orbital plane of TianQin. Thirdly, we explain thedifference in anisotropy recovering ability between TianQin and LISA, byemploying the criteria of the singularity of the covariance matrix (which isthe condition number). Finally, we find that since the different data channelcombinations correspond to different singularities, certain combinations mighthave an advantage in stochastic background map-making. We believe that thefindings of this work can provide an important reference to future stochasticbackground analysis pipelines. It can also serve as a guideline for designingbetter gravitational-wave detectors aiming to decipher anisotropies in thestochastic background.
在毫赫兹频段,随机引力波背景可以由天文源和宇宙源组成,两者都可以是各向异性的。数值描述这些各向异性对于揭示其起源的基本特性至关重要。我们首次对天琴对随机背景多矩的约束能力进行了理论分析。首先,我们发现在信噪比为16的背景下,天琴可以恢复高达$l=4$的多个矩。我们还发现了随机背景天图的一个独特特征,即沿天琴固定轨道平面的镜面对称性。第三,我们利用协方差矩阵的奇异性标准(即条件数)解释了天琴和 LISA 在各向异性恢复能力上的差异。最后,我们发现由于不同的数据通道组合对应不同的奇异性,因此某些组合在随机背景图制作中可能具有优势。我们相信,这项工作的发现可以为未来的随机背景分析管道提供重要参考。它还可以为设计更好的引力波探测器提供指导,以破译随机背景中的各向异性。
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引用次数: 0
$Λ$CDM Model Extension with Dissipative Dynamics and Sign-Switching Bulk Viscous Pressure 具有耗散动力学和符号转换体积粘性压力的Λ$CDM 模型扩展
Pub Date : 2024-09-17 DOI: arxiv-2409.10919
Vishnu A Pai, Sarath N, Titus K Mathew
In this article, we extend the standard $Lambda$CDM model by incorporatingcausal viscous dark matter (vDM) modelled using Maxwell-Cattaneo theory andobtain a novel Hubble parameter solution for the model, which can even beextended to incorporate both radiation and baryonic matter components. Adetailed and comprehensive analysis of the model is carried out by derivingtheoretical constraints on model parameters, comparing the model with thelatest observational data sets and validating the behaviour of the model underdifferent thermodynamic laws. Such an in-depth analysis of the model yieldedseveral intriguing results, like the presence of sign-switching bulk viscouspressure which aids both, the decelerated expansion in the early universe andthe accelerated expansion in the late universe, possibility of having negativespecific entropy rate in the early Universe while still satisfying thecovariant second law of thermodynamics, and a correlation between relaxationtime parameter and sign-switching redshift. Finally, we propose a unified darkmatter (UDM) interpretation for the dark sector in this model and hence showedthat, under the said UDM interpretation, this model can satisfy themuch-required near equilibrium condition associated with the backgrounddissipative theory both in the early and late phase of the Universe. Based onthe NEC trend showcased by the model, we conjuncture that the late-acceleratingbehaviour of Universe can be viewed as a means for the UDM fluid to attain aglobal equilibrium state.
在这篇文章中,我们扩展了标准的$Lambda$CDM模型,纳入了使用麦克斯韦-卡塔尼奥理论建模的因果粘性暗物质(vDM),并为该模型获得了一个新的哈勃参数解,甚至可以扩展到同时纳入辐射和重子物质成分。通过推导模型参数的理论约束条件、比较模型与最新观测数据集以及验证模型在不同热力学定律下的行为,对模型进行了详细而全面的分析。通过对模型的深入分析,我们得出了许多有趣的结果,如存在符号切换的大体积粘性压力,它既有助于早期宇宙的减速膨胀,也有助于晚期宇宙的加速膨胀;在早期宇宙中存在负熵率的可能性,同时仍然满足热力学协变第二定律;以及弛豫时间参数与符号切换红移之间的相关性。最后,我们提出了该模型中暗部门的统一暗物质(UDM)解释,并证明了在上述统一暗物质解释下,该模型在宇宙早期和晚期都能满足与背景耗散理论相关的近平衡条件。基于该模型所展示的NEC趋势,我们认为宇宙的晚期加速行为可以被看作是UDM流体达到全局平衡状态的一种手段。
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引用次数: 0
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arXiv - PHYS - General Relativity and Quantum Cosmology
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