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We present a robust mechanism where the geometrical free-gravitational entropy of an isolated astrophysical radiating star undergoing continual gravitational collapse, as measured by an external observer, makes a smooth transition to the…

广义相对论与量子宇宙学 · 物理学 2025-07-23 Sarbari Guha , Shamima Khan , Rituparno Goswami

We determine the angle of deflection of light by the gravitational field inside and outside a spherical body with a homogeneous mass density. We show that the largest deflections, which can be measured by weak gravitational lensing, are in…

广义相对论与量子宇宙学 · 物理学 2024-08-28 Nikodem Popławski

Two forms are suggested for the energy-momentum source term associated with an aggregate of dark matter (with the properties described in Paper I). Both have large pressure-like components which dominate the density terms. Using one form a…

广义相对论与量子宇宙学 · 物理学 2020-01-20 H. L. Helfer

A rotating star may be modeled as a continuous system of particles attracted to each other by gravity and with a given total mass and prescribed angular velocity. Mathematically this leads to the Euler-Poisson system. We prove an existence…

偏微分方程分析 · 数学 2018-04-17 Yilun Wu , Walter Strauss

We provide a set of general tools to study the problem of stellar equilibrium in any gravitational theory in which spherically symmetric spacetimes satisfy master field equations taking the form of an equality between an identically…

广义相对论与量子宇宙学 · 物理学 2026-03-26 Julio Arrechea , Raúl Carballo-Rubio , Matt Visser

The conservation law for the angular momentum in curved spacetime, consistent with relativistic quantum mechanics, requires that the antisymmetric part of the affine connection (torsion tensor) is a variable in the principle of least…

广义相对论与量子宇宙学 · 物理学 2026-05-28 Nikodem Popławski

General relativity limits the compactness of static stars. If the pressure of the fluid is positive and the density decreases with distance from the center, the value of the circumferential radius of the star must be greater than (9/4) G…

天体物理学 · 物理学 2007-05-23 Jeremy S. Heyl

A very simple minisuperspace describing the Oppenheimer-Snyder collapsing star is found. The semiclasical wave function of that model turn out to describe a bound state. For fixed initial radius of the collapsing star, the corrssponding…

高能物理 - 理论 · 物理学 2007-05-23 Yoav Peleg

It is now known that when a massive star collapses under the force of its own gravity, the final fate of such a continual gravitational collapse will be either a black hole or a naked singularity under a wide variety of physically…

广义相对论与量子宇宙学 · 物理学 2012-04-20 Pankaj S. Joshi , Daniele Malafarina

In this paper, we explore the gravitational collapse of matter (dust) under the effect of zero-point length $l_0$. During the gravitational collapse, we have neglected the backreaction effect of the pre-Hawking radiation (in the sense that…

广义相对论与量子宇宙学 · 物理学 2023-01-20 Kimet Jusufi

As a consequence of Birkhoff's theorem, the exterior gravitational field of a spherically symmetric star or black hole is always given by the Schwarzschild metric. In contrast, the exterior gravitational field of a rotating (axisymmetric)…

广义相对论与量子宇宙学 · 物理学 2022-09-22 R. Meinel

We develop a simple physical model to describe the dynamics of a massive point-like object, such as a black hole, near the center of a dense stellar system. It is shown that the total force on this body can be separated into two independent…

天体物理学 · 物理学 2009-11-06 Pinaki Chatterjee , Lars Hernquist , Abraham Loeb

The long-term evolution of stellar orbits bound to a massive centre is studied in order to understand the cores of star clusters in central regions of galaxies. Stellar trajectories undergo tiny perturbation, the origin of which is twofold:…

天体物理学 · 物理学 2009-10-30 D. Vokrouhlicky , V. Karas

We investigate spherically symmetric solutions to a recently proposed covariant and locally Lorentz-invariant varying speed of light theory. We find the metrics and variations in $c$ associated with the counterpart of black holes, the…

天体物理学 · 物理学 2009-10-31 Joao Magueijo

A general relativistic solution, composed of a Zel'dovich-Letelier interior made of radial strings matched through a spherical thin shell at radius $r_0$ to an exterior Schwarzschild solution with mass $m$, is presented. It is the…

广义相对论与量子宇宙学 · 物理学 2020-09-16 José P. S. Lemos , Oleg B. Zaslavskii

We present a class of conformally flat solutions of the Einstein's field equations for spherical systems undergoing gravitational collapse accompanied with radial heat flux. The interior space-time of the collapsing matter is chosen to be…

广义相对论与量子宇宙学 · 物理学 2017-11-20 Ranjan Sharma , Shyam Das , Ramesh Tikekar

We study the interior spacetimes of stars in the Palatini formalism of f(R) gravity and derive a generalized Tolman-Oppenheimer-Volkoff and mass equation for a static, spherically symmetric star. We show that matching the interior solution…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Kimmo Kainulainen , Vappu Reijonen , Daniel Sunhede

Optical appearance of a compact binary star in the field of a supermassive black hole is modeled in a strong field regime. Expressions for the redshift, magnification coefficient and pulsar extinction time are derived. By using the vierbein…

广义相对论与量子宇宙学 · 物理学 2017-02-28 Alexander Gorbatsievich , Stanislav Komarov , Alexander Tarasenko

We have recently proposed a model for a regular black hole, or an ultra-compact object, that is premised on having maximally negative radial pressure throughout the entirety of the object's interior. This model can be viewed as that of a…

广义相对论与量子宇宙学 · 物理学 2022-01-19 Ram Brustein , A. J. M. Medved , Tamar Simhon

We study the dynamical properties and space distribution of dark energy in the weak and strong gravitational fields caused by inhomogeneities of matter in the static world of galaxies and clusters. We show that the dark energy in the weak…

宇宙学与河外天体物理 · 物理学 2014-09-17 B. Novosyadlyj , Yu. Kulinich , M. Tsizh