Ksh. Newton Singh, Bidisha Samanta, S. K. Maurya, Farook Rahaman, N. Kamal Singh, Anil K. Aria
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As the time progresses into the future, the surface compactness factor approaches the Buchdahl limit until it crosses this to proceed with the collapse. Before <span>\\(2m_\\Sigma /r_\\Sigma \\rightarrow 8/9\\)</span>, the equation of state adjusts itself like a self-immune system to hold the system by increasing <span>\\(\\Gamma _{rc}\\)</span> (i.e. increasing stiffness). All the physical quantities, e.g., density, pressure anisotropy, radiation, luminosity, temperature, are non-singular throughout the interior of the star at a finite time slice. As the time progresses, these quantities point towards a future singularity. Throughout the evolution, the surface density and surface pressure always remain lower than their corresponding central values. 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引用次数: 0
摘要
本文介绍了一个无剪切、塌缩的紧凑物体,它由嵌入类 I 解描述并发射辐射。由于嵌入类 I 的特性,这个四维内部时空可以嵌入伪平面五维空间。通过卡尔马卡条件,我们从一个初始静态、无剪切力的引力体开始,利用随时间变化的爱因斯坦场方程探索了系统的时间演化。内部解与韦迪雅外向解在类似时间的超表面上平滑匹配,从而产生了模型的时间行为。此外,还从空间和时间上对热力学变量进行了全面的物理分析。随着时间向未来的推移,表面密实度系数逐渐接近布赫达尔极限,直到越过布赫达尔极限,开始坍缩。在 \(2m_\Sigma /r_\Sigma \rightarrow 8/9\)之前,状态方程会像自我免疫系统一样进行自我调整,通过增加 \(\Gamma_{rc}\)(即增加刚度)来保持系统。所有物理量,如密度、压力各向异性、辐射、光度、温度,在恒星内部的有限时间片上都是非等值的。随着时间的推移,这些量会指向未来的奇点。在整个演化过程中,表面密度和表面压力始终低于其相应的中心值。同样,在整个内部以及演化过程中,因果温度也始终高于非因果温度。
Shear-free collapsing compact star in pseudo-flat 5-D spacetime emitting radiation
A shear-free, collapsing compact object, described by an embedding class I solution and emitting radiation, is presented here. Because of the properties of embedding class I, this four-dimensional interior spacetime can be embedded in pseudo-flat five-dimensional space. Starting with an initially static and shear-free gravitating body through the Karmarkar condition, we have explored the time evolution of the system using the time-dependent Einstein field equations. The interior solution is smoothly matched with the Vaidya outgoing solution across a time-like hypersurface which yields the temporal behaviour of the model. Further, a thorough physical analysis of the thermodynamic variables has been presented spatially and temporally. As the time progresses into the future, the surface compactness factor approaches the Buchdahl limit until it crosses this to proceed with the collapse. Before \(2m_\Sigma /r_\Sigma \rightarrow 8/9\), the equation of state adjusts itself like a self-immune system to hold the system by increasing \(\Gamma _{rc}\) (i.e. increasing stiffness). All the physical quantities, e.g., density, pressure anisotropy, radiation, luminosity, temperature, are non-singular throughout the interior of the star at a finite time slice. As the time progresses, these quantities point towards a future singularity. Throughout the evolution, the surface density and surface pressure always remain lower than their corresponding central values. Similarly, the causal temperature also always remains higher than the non-causal counterpart throughout the interior as well as during the evolution.
期刊介绍:
Experimental Physics I: Accelerator Based High-Energy Physics
Hadron and lepton collider physics
Lepton-nucleon scattering
High-energy nuclear reactions
Standard model precision tests
Search for new physics beyond the standard model
Heavy flavour physics
Neutrino properties
Particle detector developments
Computational methods and analysis tools
Experimental Physics II: Astroparticle Physics
Dark matter searches
High-energy cosmic rays
Double beta decay
Long baseline neutrino experiments
Neutrino astronomy
Axions and other weakly interacting light particles
Gravitational waves and observational cosmology
Particle detector developments
Computational methods and analysis tools
Theoretical Physics I: Phenomenology of the Standard Model and Beyond
Electroweak interactions
Quantum chromo dynamics
Heavy quark physics and quark flavour mixing
Neutrino physics
Phenomenology of astro- and cosmoparticle physics
Meson spectroscopy and non-perturbative QCD
Low-energy effective field theories
Lattice field theory
High temperature QCD and heavy ion physics
Phenomenology of supersymmetric extensions of the SM
Phenomenology of non-supersymmetric extensions of the SM
Model building and alternative models of electroweak symmetry breaking
Flavour physics beyond the SM
Computational algorithms and tools...etc.