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We obtain static, spherically symmetric, and asymptotically flat numerical solutions of massive gravity with a source. Those solutions show, for the first time explicitly, a recovery of the Schwarzschild solution of General Relativity via…

General Relativity and Quantum Cosmology · Physics 2010-04-23 E. Babichev , C. Deffayet , R. Ziour

We study the static and spherical symmetric (SSS) configurations in the non-minimal model of the de Rham-Gabadadze-Tolley (dRGT) massive gravity with a flat reference metric. Considering the modified Tolman-Oppenheimer-Volkoff (TOV)…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Masashi Yamazaki , Taishi Katsuragawa , Sergei D. Odintsov , Shin'ichi Nojiri

In general relativity, the endpoint of spherically symmetric gravitational collapse is a Schwarzschild--[(A)dS] black hole. In bimetric gravity, it has been speculated that a static end state must also be Schwarzschild--[(A)dS]. To this…

General Relativity and Quantum Cosmology · Physics 2020-06-09 Marcus Högås , Mikica Kocic , Francesco Torsello , Edvard Mörtsell

Utilizing various gauges of the radial coordinate we give a description of static spherically symmetric space-times with point singularity at the center and vacuum outside the singularity. We show that in general relativity (GR) there exist…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Plamen Fiziev

We find the general solution of equations of motion for self-gravitating spherical null dust as a perturbative series in powers of the outgoing matter energy-momentum tensor, with the lowest order term being the Vaidya solution for the…

General Relativity and Quantum Cosmology · Physics 2009-01-16 A. Mikovic

We modify the method to generate the exact solutions of the Einstein equations basing on the laws of thermodynamics. Firstly, the Komar mass is used to take the place of the Misner-Sharp energy which is used in the original methods, and…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Hong-Wei Tan , Jin-Bo Yang , Tang-Mei He , Jing-Yi Zhang

Square-torsion gravity is applied to the long standing dark matter problem. In this context the theory reduces to General Relativity complemented by a dark stress-energy tensor due to the torsion of spacetime and is studied under the…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Elias A. S. Mégier

We obtain the Schwarzschild solution from thermodynamic considerations using the assumptions of a quasi local mass form (the Misner-Sharp mass) and geometric surface gravity in a spherically symmetric spacetime. The deduction is extended to…

General Relativity and Quantum Cosmology · Physics 2014-12-22 Hongsheng Zhang , Sean A. Hayward , Xiang-Hua Zhai , Xin-Zhou Li

Utilizing various gauges of the radial coordinate we give a description of static spherically symmetric space-times with point singularity at the center and vacuum outside the singularity. We show that in general relativity (GR) there exist…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Plamen Fiziev

In this work, we study the gravitational collapse procedure in generalized Vaidya spacetime with Bose-Einstein condensate dark matter density profile. We use the generalized Vaidya metric to simulate the spacetime of a big star and…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Prabir Rudra

We study in detail static spherically symmetric solutions of non linear Pauli-Fierz theory. We obtain a numerical solution with a constant density source. This solution shows a recovery of the corresponding solution of General Relativity…

General Relativity and Quantum Cosmology · Physics 2010-11-11 E. Babichev , C. Deffayet , R. Ziour

The motive of this work is to study gravitational collapse in Vaidya space-time embedded in Galileon gravity theory. Galileon gravity is in fact an infrared modification of Einstein gravity, which was proposed as a generalization of the 4D…

General Physics · Physics 2015-06-18 Prabir Rudra , Ujjal Debnath

In this paper, the different properties of generalized Vaidya spacetime are considered. We define the location of horizons. We show that the apparent horizon can contain the event horizon. The locations of all types of horizons are compared…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Vitalii Vertogradov , Dmitriy Kudryavcev

We prove that there can not be a smooth matching of the Generalized Vaidya metric with an exterior Schwarzschild/Vaidya patch across a finite boundary hypersurface unless the mass function is a function of the null coordinate alone. By…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Soumya Chakrabarti , Naresh Dadhich , Chiranjeeb Singha

Generalized Noether's theory is a useful method for researching the modified gravity theories about the conserved quantities and symmetries. A generally Gauss-Bonnet gravity $f(R,\mathcal{G})$ theory was proposed as an alternative gravity…

General Relativity and Quantum Cosmology · Physics 2019-06-25 Han Dong

The paper investigates the collapse of the generalized emergent Vaidya spacetime in the setting of $f(\bar{R}, \bar{T})$ gravity, specifically in K-essence theory. In this study, the Dirac-Born-Infeld type non-standard Lagrangian is used to…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Arijit Panda , Goutam Manna , Saibal Ray , Maxim Khlopov , Md. Rabiul Islam

We find the most general algebraic type N solution with non-vanishing scalar curvature, which comprises all type N solutions of new massive gravity in three dimensions. We also give the special forms of this solution, which correspond to…

High Energy Physics - Theory · Physics 2014-11-21 Haji Ahmedov , Alikram N. Aliev

It is argued that many of the problems and ambiguities of standard cosmology derive from a single one: violation of conservation of energy in the standard paradigm. Standard cosmology satisfies conservation of local energy, however…

General Physics · Physics 2017-10-02 Herman Telkamp

We study static spherically symmetric solutions of massive bi-gravity theory, free from the Boulware-Deser ghost. We show the recovery of General Relativity via the Vainshtein mechanism, in the weak limit of the physical metric. We find a…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Eugeny Babichev , Marco Crisostomi

The standard theory of General Relativity (GR) currently provides the most reliable description of all gravitational events in Astrophysics and Cosmology. However, current Astronomy allows measurements that contradict the predictions of GR…

General Relativity and Quantum Cosmology · Physics 2024-02-19 José Luis Hernández-Pastora