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We analyze spherical dust collapse with non-vanishing radial pressure, $\Pi$, and vanishing tangential stresses. Considering a barotropic equation of state, $\Pi=\gamma\rho$, we obtain an analytical solution in closed form---which is exact…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Sergio M. C. V. Goncalves , Sanjay Jhingan

Quadratic Gravity supplements the Einstein-Hilbert action by terms quadratic in the spacetime curvature. This leads to a rich phase space of static, compact gravitating objects including the Schwarzschild black hole, wormholes, and naked…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Luca Buoninfante , Francesco Di Filippo , Ivan Kolář , Frank Saueressig

It is shown that space curvature can be disposed of by properly taking into account gravitational self energies. This leads to a parameter free modification of Newton's law, violating Gauss theorem, which accounts for the crucial tests of…

General Physics · Physics 2011-12-09 Paolo Christillin

The problem of the event horizon in relativistic gravity is discussed. Singular solutions in general relativity are well known. The Schwarschild metric of a spherical mass is singular at zero ($r = 0$) and at the event horizon ($r = r_g$).…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Svetlana Andrusenko , Daniil Krichevskiy , Valentin Rudenko

We study stability of occurrence of black holes and naked singularities that arise as a final state for a complete gravitational collapse of type I matter field in a spherically symmetric $N$ dimensional spacetime with equation of state $p…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Sanjay Sarwe , R. V. Saraykar

We investigate here how the shearing effects present within a collapsing matter cloud influence the outcome of gravitational collapse in terms of formation of either a black hole or a naked singularity as the final end state. For collapse…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pankaj S. Joshi , Rituparno Goswami , Naresh Dadhich

We present numerical simulations in general relativity of collapsing stellar cores. Our initial model consists of a low metallicity rapidly-rotating progenitor which is evolved in axisymmetry with the latest version of our general…

Solar and Stellar Astrophysics · Physics 2015-06-17 Pablo Cerdá-Durán , Nicolas DeBrye , Miguel A Aloy , José A Font , Martin Obergaulinger

Schwarzschild black holes are expected to emerge as the end states of the classical gravitational collapse from non-singular configurations. After integrable curvature singularities appear, the interior geometry can be modelled to exhibit a…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Roberto Casadio , Andrea Giusti , Alexander Kamenshchik , Jorge Ovalle

We compare the gravitational collapse of homogeneous perfect fluid with various equations of state in the framework of General Relativity and in $R^2$ gravity. We make our calculations using dimensionless time with characteristic timescale…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Artyom V. Astashenok , Karim Mosani , Sergey D. Odintsov , Gauranga C. Samanta

In conventional field theories, the emission of Hawking radiation in the background of a collapsing star requires transplanckian energy fluctuations. These fluctuations are encoded in the weak values of the energy-momentum operator…

General Relativity and Quantum Cosmology · Physics 2013-10-08 F. Englert

In the background of a gravitational collapse, we compute the transition amplitudes for the creation of particles for distant observers due to higher-derivative interactions in addition to Hawking radiation. The amplitudes grow…

High Energy Physics - Theory · Physics 2022-01-26 Pei-Ming Ho , Hikaru Kawai , Yuki Yokokura

The Planckon densely piled model of vacuum is proposed. Based on this model, the microscopic quantum structure of Schwarzschild black hole and quantum statistical origin of its gravity are studied. The cutoff of black hole horizon leads to…

General Physics · Physics 2014-10-29 Shun-Jin Wang

We study the process of gravitational collapse in pure Gauss-Bonnet gravity. In the homogeneous dust collapse, we show that the $D=7$ pure Gauss-Bonnet theory has gravitational dynamics indistinguishable from Einstein's theory in $D=4$,…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Konstantinos F. Dialektopoulos , Daniele Malafarina , Naresh Dadhich

We study time-dependant Hawking-like radiation as seen by an infalling observer during gravitational collapse of a thin shell. We calculate the occupation number of particles whose frequencies are measured in the proper time of an infalling…

General Relativity and Quantum Cosmology · Physics 2016-09-22 Anshul Saini , Dejan Stojkovic

The macroscopic effects of the quantum conformal anomaly are evaluated in a simplified two-dimensional model of gravitational collapse. The effective action and stress tensor of the anomaly can be expressed in a local quadratic form by the…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Emil Mottola , Mani Chandra , Gian Mario Manca , Evgeny Sorkin

We consider a spherically symmetric homogeneous perfect fluid undergoing a gravitational collapse to singularity in the framework of higher-dimensional Rastall gravity in the cases of vanishing and nonvanishing cosmological constants. The…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Golfin Ekatria , Andy Octavian Latief , Fiki Taufik Akbar , Bobby Eka Gunara

In this work, we propose a model of the gravitational collapse of dark matter in the presence of quintessence or phantom-like scalar fields. Our treatment is based on the principles of general relativity up to virialization. We have chosen…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Priyanka Saha , Dipanjan Dey , Kaushik Bhattacharya

In this paper, we consider the problems of spherical gravitational collapse and accretion using a spherically symmetric, spatially homothetic spacetime, that is, as an exact solution (cqg1) of the field equations of general relativity.…

Astrophysics · Physics 2007-05-23 Sanjay M Wagh

The gravitational collapse of a star is an important issue both for general relativity and astrophysics, which is related to the well known "frozen star" paradox. This paradox has been discussed intensively and seems to have been solved in…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Yuan Liu , Shuang Nan Zhang

In case of spherical symmetry, the assumptions of finite-time formation of a trapped region and regularity of its boundary --- the apparent horizon --- are sufficient to identify the form of the metric and energy-momentum tensor in its…

General Relativity and Quantum Cosmology · Physics 2020-01-13 Valentina Baccetti , Sebastian Murk , Daniel R. Terno
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