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Photon surfaces in less symmetric spacetimes 不对称时空中的光子表面
Pub Date : 2020-11-20 DOI: 10.1103/PHYSREVD.103.044003
Yasutaka Koga, Takahisa Igata, Keisuke Nakashi
We investigate photon surfaces and their stability in a less symmetric spacetime, a general static warped product with a warping function acting on a Riemannian submanifold of codimension two. We find a one-dimensional pseudopotential that gives photon surfaces as its extrema regardless of the spatial symmetry of the submanifold. The maxima and minima correspond to unstable and stable photon surfaces, respectively. It is analogous to the potential giving null circular orbits in a spherically symmetric spacetime. We also see that photon surfaces indeed exist for the spacetimes which are solutions to the Einstein equation. The parameter values for which the photon surfaces exist are specified. As we show finally, the pseudopotential arises due to the separability of the null geodesic equation, and the separability comes from the existence of a Killing tensor in the spacetime. The result leads to the conclusion that photon surfaces may exist even in a less symmetric spacetime if the spacetime admits a Killing tensor.
我们研究了光子表面及其在非对称时空中的稳定性,这是一个一般的静态翘曲积,翘曲函数作用于余维二的黎曼子流形。我们发现了一个一维伪势,它给出了光子表面作为其极值,而不考虑子流形的空间对称性。最大值和最小值分别对应于不稳定和稳定的光子表面。它类似于在球对称时空中给出零圆轨道的势。我们也看到光子面确实存在于时空中,这是爱因斯坦方程的解。指定了存在光子表面的参数值。正如我们最后所表明的,伪势是由于零测地线方程的可分性而产生的,而可分性来自于时空中存在的杀戮张量。结果表明,即使在一个不对称的时空中,如果时空允许一个杀戮张量,光子表面也可能存在。
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引用次数: 9
Unruh-DeWitt detector differentiation of black holes and exotic compact objects Unruh-DeWitt探测器对黑洞和奇异致密物体的区分
Pub Date : 2020-11-20 DOI: 10.1103/PhysRevD.103.124046
B. Holdom, R. Mann, Chen Zhang
We study the response of a static Unruh-DeWitt detector outside an exotic compact object (ECO) with a general reflective boundary condition in 3+1 dimensions. The horizonless ECO, whose boundary is extremely close to the would-be event horizon, acts as a black hole mimicker. We find that the response rate is notably distinct from the black hole case, even when the ECO boundary is perfectly absorbing. For a (partially) reflective ECO boundary, we find resonance structures in the response rate that depend on the different locations of the ECO boundary and those of the detector. We provide a detailed analysis in connection with the ECO's vacuum mode structure and transfer function.
研究了具有一般反射边界条件的3+1维奇异紧致物体(ECO)外静态Unruh-DeWitt探测器的响应。无水平的ECO,其边界非常接近未来的事件视界,就像一个黑洞模仿者。我们发现,即使在ECO边界完全吸收的情况下,响应率也明显不同于黑洞情况。对于(部分)反射的ECO边界,我们发现响应率中的共振结构取决于ECO边界和检测器的不同位置。我们对ECO的真空模式结构和传递函数进行了详细的分析。
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引用次数: 2
Toward Nonlocal Electrodynamics of Accelerated Systems 加速系统的非局部电动力学研究
Pub Date : 2020-11-18 DOI: 10.3390/universe6120229
B. Mashhoon
We revisit acceleration-induced nonlocal electrodynamics and the phenomenon of photon spin-rotation coupling. The kernel of the theory for the electromagnetic field tensor involves parity violation under the assumption of linearity of the field kernel in the acceleration tensor. However, we show that parity conservation can be maintained by extending the field kernel to include quadratic terms in the acceleration tensor. The field kernel must vanish in the absence of acceleration; otherwise, a general dependence of the kernel on the acceleration tensor cannot be theoretically excluded. The physical implications of the quadratic kernel are briefly discussed.
我们重新讨论了加速诱导的非局部电动力学和光子自旋-旋转耦合现象。电磁场张量理论的核心涉及在加速度张量的场核线性假设下的宇称违逆。然而,我们证明了宇称守恒可以通过扩展场核以包含加速度张量中的二次项来维持。在没有加速度的情况下,场核必须消失;否则,在理论上不能排除核对加速度张量的一般依赖。简要讨论了二次核的物理含义。
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引用次数: 3
Thermodynamic aspects of entropic cosmology with viscosity 具有粘性的熵宇宙学的热力学方面
Pub Date : 2020-11-18 DOI: 10.1142/s0218271821500085
I. Brevik, A. Timoshkin, A. Timoshkin
We describe the evolution of the early and late universe from thermodynamic considerations, using the generalized non-extensive Tsallis entropy with a variable exponent. A new element in our analysis is the inclusion of a bulk viscosity in the description of the cosmic fluid. Using the generalized Friedmann equation, a description of the early and the late universe is obtained.
我们用变指数的广义非扩展Tsallis熵,从热力学角度描述了宇宙早期和晚期的演化。我们分析中的一个新元素是在宇宙流体的描述中包含了体粘度。利用广义的弗里德曼方程,得到了早期宇宙和晚期宇宙的描述。
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引用次数: 6
A study on causality in f(R,ϕ,X) theory f(R, φ,X)理论中因果关系的研究
Pub Date : 2020-11-16 DOI: 10.1142/S0217751X21500093
J. Gonccalves, A. F. Santos
The $k$-essence modified $f(R)$ gravity model, i.e., $f(R,phi,X)$ theory is studied. The question of violation of causality, in the framework of Godel-type universes, is investigated in this gravitational model. Causal and non-causal solutions are allowed. A critical radius for non-causal solution is calculated. It is shown that the violation of causality depends on the content of matter.
研究了$k$本质修正$f(R)$引力模型,即$f(R,phi,X)$理论。在哥德尔型宇宙的框架下,在这个引力模型中研究了违反因果关系的问题。允许因果和非因果解。计算了非因果解的临界半径。结果表明,因果关系的违背取决于物质的内容。
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引用次数: 2
Scalar perturbations of black holes in Jackiw-Teitelboim gravity Jackiw-Teitelboim引力中黑洞的标量微扰
Pub Date : 2020-11-14 DOI: 10.1103/physrevd.103.024008
Srijit Bhattacharjee, Subhodeep Sarkar, Arpan Bhattacharyya
We study linear scalar perturbations of black holes in two space-time dimensional (2D) gravity models with particular emphasis on Jackiw-Teitelboim (JT) gravity. We obtain an exact expression for the quasinormal mode frequencies for single horizon JT black holes and then verify it numerically using the Horowitz-Hubeny method. For a 2D Reissner-Nordstr"om like solution, we find that the scalar wave equation reduces to the confluent Heun equation using which we calculate the quasi-frequencies. Finally, we consider the dimensionally reduced BTZ black hole and obtain the exterior and interior quasinormal modes. The dynamics of a scalar field near the Cauchy horizon mimics the behaviour of the same for the BTZ black hole, indicating a possible violation of strong cosmic censorship conjecture in near extreme limit. However, quantum effects seem to rescue strong cosmic censorship.
本文研究了二维时空引力模型中黑洞的线性标量摄动,特别强调了Jackiw-Teitelboim (JT)引力。得到了单视界JT黑洞准正态模频率的精确表达式,并用Horowitz-Hubeny方法进行了数值验证。对于二维类Reissner-Nordstr解,我们发现标量波动方程可以简化为合流的Heun方程,用它来计算准频率。最后,我们考虑了降维BTZ黑洞,得到了黑洞的外部和内部准正态模态。柯西视界附近标量场的动力学模拟了BTZ黑洞的相同行为,表明在接近极限的情况下可能违反了强宇宙审查猜想。然而,量子效应似乎挽救了强大的宇宙审查制度。
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引用次数: 10
What is a reduced boundary in general relativity? 广义相对论中的简化边界是什么?
Pub Date : 2020-11-14 DOI: 10.1142/S0218271821500504
E. Battista, G. Esposito
The concept of boundary plays an important role in several branches of general relativity, e.g., the variational principle for the Einstein equations, the event horizon and the apparent horizon of black holes, the formation of trapped surfaces. On the other hand, in a branch of mathematics known as geometric measure theory, the usefulness has been discovered long ago of yet another concept, i.e., the reduced boundary of a finite-perimeter set. This paper proposes therefore a definition of finite-perimeter sets and their reduced in general relativity. Moreover, a basic integral formula of geometric measure theory is evaluated explicitly in the relevant case of Euclidean Schwarzschild geometry, for the first time in the literature. This research prepares the ground for a measure-theoretic approach to several concepts in gravitational physics, supplemented by geometric insight. Moreover, such an investigation suggests considering the possibility that the in-out amplitude for Euclidean quantum gravity should be evaluated over finite-perimeter Riemannian geometries that match the assigned data on their reduced boundary.
边界的概念在广义相对论的几个分支中起着重要的作用,如爱因斯坦方程的变分原理、黑洞的视界和视界、俘获面的形成等。另一方面,在被称为几何测量理论的数学分支中,很久以前就发现了另一个概念的有用性,即有限周长集合的约简边界。因此,本文提出了广义相对论中有限周长集的定义及其约简。此外,在欧几里得史瓦西几何的相关情况下,首次在文献中明确地评价了几何测度理论的一个基本积分公式。这项研究为引力物理学中几个概念的测量理论方法奠定了基础,并辅以几何洞察力。此外,这样的研究建议考虑欧几里得量子引力的进出振幅应该在有限周长黎曼几何上进行评估的可能性,这些几何与它们的简化边界上指定的数据相匹配。
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引用次数: 3
Remarks on the Abraham–Minkowski problem, from the formal and from the experimental side 论亚伯拉罕-闵可夫斯基问题,从形式和实验两方面
Pub Date : 2020-11-13 DOI: 10.1142/S0217751X21500639
I. Brevik, M. Chaichian, Ion I. Cotùaescu
We analyze the Abraham-Minkowski problem known from classical electrodynamics from two different perspectives. First, we follow a formal approach, implying use of manifolds with curved space sections in accordance with Fermat's principle, emphasizing that the resulting covariant and contravariant components of the photon four-momentum is a property linked to the {it Minkowski} theory only. There is thus no link to the Abraham theory in that context. Next we turn to the experimental side, giving a brief account of older and newer radiation pressure experiments that clearly show how the Minkowski photon momentum is preferable under optical conditions. Under low-frequency conditions, where experimental detection of the individual oscillations predicted by the Abraham term are possible, the picture is however quite different.
我们从两个不同的角度分析了经典电动力学中的亚伯拉罕-闵可夫斯基问题。首先,我们遵循一种正式的方法,意味着根据费马原理使用具有弯曲空间截面的流形,强调由此产生的光子四动量的协变和逆变分量仅与{it Minkowski}理论相关。因此,在这种情况下,与亚伯拉罕理论没有联系。接下来,我们转向实验方面,简要介绍旧的和新的辐射压力实验,这些实验清楚地表明闵可夫斯基光子动量在光学条件下是如何更好的。在低频条件下,实验检测亚伯拉罕项预测的单个振荡是可能的,然而,情况却大不相同。
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引用次数: 1
Constraining velocity-dependent Lorentz and CPT violations using lunar laser ranging 利用月球激光测距约束速度依赖的洛伦兹和CPT违规
Pub Date : 2020-11-12 DOI: 10.1103/PHYSREVD.103.064055
A. Bourgoin, S. Bouquillon, Aurélien Hees, C. L. Poncin-Lafitte, Quentin G. Bailey, J. J. Howard, M. Angonin, G. Francou, Julien Chabé, Clément Courde, J.-M. Torre
The possibility for Lorentz/CPT-breaking, which is motivated by unification theories, can be systematically tested within the standard-model extension framework. In the pure gravity sector, the mass dimension 5 operators produce new Lorentz and CPT-breaking terms in the 2-body equations of motion that depend on the relative velocity of the bodies. In this Letter, we report new constraints on 15 independent SME coefficients for Lorentz/CPT-violations with mass dimension 5 using lunar laser ranging. We perform a global analysis of lunar ranging data within the SME framework using more than 26,000 normal points between 1969 and 2018. We also perform a jackknife analysis in order to provide realistic estimates of the systematic uncertainties. No deviation from Lorentz/CPT symmetries is reported. In addition, when fitting simultaneously for the 15 canonical SME coefficients for Lorentz/CPT-violations, we improve up to three orders of magnitude previous post-fit constraints from radio pulsars.
由统一理论驱动的洛伦兹/ cpt破断的可能性可以在标准模型扩展框架内系统地进行测试。在纯重力领域,质量维5算符在依赖于物体相对速度的两体运动方程中产生新的洛伦兹和cpt破断项。在这篇论文中,我们报告了用月球激光测距对质量维为5的Lorentz/ cpt -违规的15个独立SME系数的新约束。我们使用1969年至2018年期间的26,000多个正常点,在SME框架内对月球测距数据进行了全球分析。我们还进行了折刀分析,以提供系统不确定性的现实估计。没有偏离洛伦兹/CPT对称的报道。此外,当同时拟合Lorentz/ cpt违规的15个典型SME系数时,我们将射电脉冲星先前的拟合后约束提高了三个数量级。
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引用次数: 6
Dynamics of test particles around a Bardeen black hole surrounded by perfect fluid dark matter 被完美流体暗物质包围的巴丁黑洞周围测试粒子的动力学
Pub Date : 2020-11-12 DOI: 10.1103/PhysRevD.102.104062
Bakhtiyor Narzilloev, J. Rayimbaev, S. Shaymatov, A. Abdujabbarov, B. Ahmedov, C. Bambi
We study the dynamics of (i) neutral test particles, (ii) magnetically charged test particles, and (iii) test magnetic dipole around a regular Bardeen black hole surrounded by perfect fluid dark matter (PFDM). It has been shown how the magnetic charge of the black hole and the parameter of the surrounding PFDM can influence the innermost stable circular orbit (ISCO) radius of a test particle. We have found that the ISCO radius is strongly affected as a consequence of the combined effect of the magnetic charge parameter and the perfect fluid dark matter. The black hole magnetic charge parameter $g$ and the combined effect of perfect fluid dark matter can mimic the black hole rotation parameter up to $a/Mapprox 0.9$. It has been observed that the ISCO for magnetic dipole disappears at the values exceeding the calculated upper value for the magnetic interaction parameter $beta$. The upper limit decreases with the increase of both the dark matter and magnetic charge parameters. Finally, as an astrophysical application, we have analyzed degeneracy effects of spin of Kerr black holes and magnetic charge of regular Bardeen black holes for the different values of the dark matter parameter providing exactly the same value for ISCO radius of a magnetic dipole with the same value of the parameter $beta=10.2$ of the magnetar called PSR J1745-2900 orbiting around supermassive black hole Sagittarius A*.
我们研究了(i)中性测试粒子,(ii)磁性带电测试粒子,以及(iii)在被完美流体暗物质(PFDM)包围的规则巴丁黑洞周围的磁偶极子的动力学。揭示了黑洞的磁荷和周围PFDM的参数对测试粒子最内层稳定圆轨道半径的影响。我们发现,由于磁荷参数和完美流体暗物质的共同作用,ISCO半径受到强烈的影响。黑洞磁荷参数$g$和完美流体暗物质的联合效应可以模拟黑洞旋转参数$a/Mapprox 0.9$。已经观察到,磁偶极子的ISCO在超过磁相互作用参数$beta$的计算上限时消失。该上限随暗物质和磁荷参数的增大而减小。最后,作为天体物理应用,我们分析了克尔黑洞自旋和常规巴丁黑洞磁荷对不同暗物质参数的简并效应,得到了围绕超大质量黑洞人马座a *运行的PSR J1745-2900磁偶极子的ISCO半径与参数$beta=10.2$相同的值。
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引用次数: 16
期刊
arXiv: General Relativity and Quantum Cosmology
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