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By a spherical gravitating condenser we mean two concentric charged shells made of perfect fluids restricted by the condition that the electric field is nonvanishing only between the shells. Flat space is assumed inside the inner shell. By…

General Relativity and Quantum Cosmology · Physics 2011-06-13 Jiří Bičák , Norman Gürlebeck

The Geroch-Wald-Jang-Huisken-Ilmanen approach to the positive energy problem to may be extended to give a negative lower bound for the mass of asymptotically Anti-de-Sitter spacetimes containing horizons with exotic topologies having ends…

High Energy Physics - Theory · Physics 2009-10-07 G W Gibbons

We point out that the {\em spacetime void} inferred by Castro[J. Math. Phys. 49, 042501, (2008)] results from his choice of a discontinuous radial gauge. Further since the integration constant $\alpha_0 = 2M_0$ ($G=c=1$) occurring in the…

General Physics · Physics 2010-01-05 Abhas Mitra

Owing to the quadratic nature of the theory, Einstein-Gauss-Bonnet gravity generically permits two distinct vacuum solutions. One solution (the "Einstein" vacuum) has a well defined limit as the Gauss-Bonnet coupling goes to zero, whereas…

High Energy Physics - Theory · Physics 2011-08-04 Christos Charmousis , Antonio Padilla

Utilizing various gauges of the radial coordinate, we give a General Relativistic (GR) description of static spherically symmetric spacetimes with a massive point source and vacuum outside this singularity. We show that in GR there exists a…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Plamen P. Fiziev

Starting from the Oppenheimer-Snyder model, we know how in classical general relativity the gravitational collapse of matter form a black hole with a central spacetime singularity. It is widely believed that the singularity must be removed…

General Relativity and Quantum Cosmology · Physics 2015-02-27 Yiyang Zhang , Yiwei Zhu , Leonardo Modesto , Cosimo Bambi

The general equations describing hydrostatic equilibrium are developed for Non-singular Gravity. A new type of astrophysical structure, a Super Dense Object (SDO) or "Dark Star", is shown to exist beyond Neutron star field strengths. These…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Neil Cornish

We consider a gravitational plane wave passing through a galactic dark matter halo composed of weakly self-interacting, self-gravitating, Bose-Einstein condensate of ultralight particles. Treating the gravitational wave as a time dependent…

General Relativity and Quantum Cosmology · Physics 2021-05-18 Levent Akant , İ. Çağrı İşeri , İbrahim Semiz

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

Using the Ernst formalism, a novel solution of vacuum general relativity (GR) was recently obtained [1], describing a Schwarzschild black hole (BH) immersed in a nonasymptotically flat rotating background, dubbed swirling universe, with the…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Zeus S. Moreira , Carlos A. R. Herdeiro , Luís C. B. Crispino

The classical model of an isolated selfrgavitating gaseous star is given by the Euler-Poisson system with a polytropic pressure law $P(\rho)=\rho^\gamma$, $\gamma>1$. For any $1<\gamma<\frac43$, we construct an infinite-dimensional family…

Analysis of PDEs · Mathematics 2018-11-06 Yan Guo , Mahir Hadzic , Juhi Jang

A certain vector-tensor (VT) theory of gravitation was tested in previous papers. In the background universe, the vector field of the theory has a certain energy density, which is appropriate to play the role of vacuum energy (cosmological…

General Relativity and Quantum Cosmology · Physics 2015-09-15 Roberto Dale , Màrius J. Fullana , Diego Sáez

We study the gravitational collapse of a spherically symmetric anisotropic relativistic star within Einstein theory of gravity making use of one of our recently developed collapsing stellar models [{\it Astrophys. Space Sci.} {\bf361} 99…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Shyam Das , Bikash Chandra Paul , Ranjan Sharma

In Einstein gravity, matter with an arbitrarily small density can be a black hole. Pressure in the star diverges if size of the star is smaller than 9/8 of the Schwarzschild radius, implying the gravitational collapse into a black hole. By…

High Energy Physics - Theory · Physics 2026-03-27 Yoshinori Matsuo

Through reformulating the cold, self-gravitating fermion gas as a Bose condensate by identifying their mutual Thomas-Fermi limits, the dissipationless formation of a heavy neutrino star in gravitational collapse is numerically demonstrated.…

Astrophysics · Physics 2007-05-23 Neven Bilic , Robert J. Lindebaum , Gary B. Tupper , Raoul D. Viollier

We describe a class of exactly soluble models for gravitational collapse in spherical symmetry obtained by patching dynamical spherically symmetric exterior spacetimes with cosmological interior spacetimes. These are generalizations of the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Benjamin K. Tippett , Viqar Husain

We present a new solution in Einstein's General Relativity representing a Schwarzschild black hole immersed in a rotating universe. Such a solution is constructed analytically by means of the last unexplored Lie point symmetry of the Ernst…

General Relativity and Quantum Cosmology · Physics 2024-02-08 Marco Astorino , Riccardo Martelli , Adriano Viganò

Equations of gravity when projected on spacetime horizons resemble Navier-Stokes equation of a fluid with a specific equation of state [1-3]. We show that this equation of state describes massless ideal relativistic gas. We use these…

General Relativity and Quantum Cosmology · Physics 2016-03-03 Jozef Skakala , S. Shankaranarayanan

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

In a previous paper, we proposed a new gravitational energy momentum tensor. Here we use this tensor to evaluate the gravitational energies both inside and outside the horizon of a Schwarzschild black hole. Our results show that all of the…

General Physics · Physics 2016-08-26 Katsutaro Shimizu
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