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In this paper we study an Oppenheimer-Snyder (OS)-like gravitational collapse in the general framework of scale-dependent gravity. We explore the collapse in spherically symmetric solutions suggested both by asymptotically safe gravity…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Ramin Hassannejad , Gaetano Lambiase , Fabio Scardigli , Fatimah Shojai

We shall study the formation of a particular class of regular black holes from the gravitational collapse of a massive star. The inside geometry is described by spatially flat Friedmann-Robertson-Walker metric and the stellar matter is…

General Relativity and Quantum Cosmology · Physics 2022-04-13 F. Shojai , A. Sadeghi , R. Hassannejad

We generalize the Oppenheimer-Snyder model of gravitational collapse by considering a broader class of static, spherically symmetric exterior spacetimes, with an interior geometry described by a Friedmann-Lemaitre-Robertson-Walker (FLRW)…

General Relativity and Quantum Cosmology · Physics 2025-12-16 H. Khodabakhshi , H. Lu , F. Shojai

A definition of surface gravity at the apparent horizon of dynamical spherically symmetric spacetimes is proposed. It is based on a unique foliation by ingoing null hypersurfaces. The function parametrizing the hypersurfaces can be…

General Relativity and Quantum Cosmology · Physics 2011-09-09 G. Fodor , K. Nakamura , Y. Oshiro , A. Tomimatsu

We discuss how the surface gravity can be classically defined for dynamical black holes. In particular we focus on defining the surface gravity for locally defined horizons and compare a number definitions proposed in the literature. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alex B. Nielsen , Jong Hyuk Yoon

Starting from the Oppenheimer-Snyder solution for gravitational collapse, we show by putting it into the harmonic coordinates, for which the distant Riemann metric is galilean, that the final state of collapse for a collapsed star of any…

General Relativity and Quantum Cosmology · Physics 2011-04-01 Trevor W. Marshall

In this paper, we treat 4-dimensional Einstein-Gauss-Bonnet gravity as general relativity with an effective stress-energy tensor. We will study the modified Oppenheimer-Snyder-Datt model of the gravitational collapse of a star in a…

General Relativity and Quantum Cosmology · Physics 2023-02-22 R. Hassannejad , A. Sadeghi , F. Shojai

The surface gravity of any Killing horizon, in any spacetime dimension, can be interpreted as a local, two-dimensional expansion rate seen by freely falling observers when they cross the horizon. Any two-dimensional congruence of geodesics…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ted Jacobson , Renaud Parentani

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

We study dynamical surface gravity in a general spherically symmetric setting using Painlev\'{e}-Gullstrand (PG) coordinates. Our analysis includes several definitions that have been proposed in the past as well as two new definitions…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Mathias Pielahn , Gabor Kunstatter , Alex B. Nielsen

We study gravitational collapse of a spherical fluid in nonrelativistic general covariant theory of the Ho\v{r}ava-Lifshitz gravity with the projectability condition and an arbitrary coupling constant $\lambda$, where $|\lambda - 1|$…

High Energy Physics - Theory · Physics 2015-06-01 Jared Greenwald , Jonatan Lenells , V. H. Satheeshkumar , Anzhong Wang

We extend the work of Oppenheimer & Synder to model the gravitational collapse of a star to a black hole by including quantum mechanical effects. We first derive closed-form solutions for classical paths followed by a particle on the…

General Relativity and Quantum Cosmology · Physics 2016-11-14 Jayashree Balakrishna , Ruxandra Bondarescu , Christine Corbett Moran

We establish an exact bidirectional map between interior Friedmann density of a collapsing star and exterior static spherically symmetric metric in generalized Oppenheimer-Snyder collapse. This reduces Einstein's differential…

General Relativity and Quantum Cosmology · Physics 2026-05-12 H. Khodabakhshi , Zhi-Chao Li , H. Lu , F. Shojai

In a quantum gravity theory, spacetime at mesoscopic scales can acquire a novel structure very different from the classical concept of general relativity. A way to effectively characterize the quantum nature of spacetime is through a…

General Relativity and Quantum Cosmology · Physics 2021-09-28 J. J. Relancio , S. Liberati

Bearing the thermodynamic arguments together with the two definitions of mass in mind, we try to find metrics with spherical symmetry. We consider the adiabatic condition along with the Gong-Wang mass, and evaluate the $g_{rr}$ element…

General Relativity and Quantum Cosmology · Physics 2016-12-23 H. Moradpour , S. Nasirimoghadam

Surface gravity plays a pivotal role in the characterization of black holes and also in formulating the laws of black hole thermodynamics. Despite its significance, defining surface gravity in general spacetimes is a nontrivial task and…

General Relativity and Quantum Cosmology · Physics 2023-11-22 Pravin Kumar Dahal

We study Oppenheimer-Snyder (OS) gravitational collapse matched to a general static, spherically symmetric exterior spacetime. Unlike the Schwarzschild case, two new features can arise in black holes with two horizons: an apparent-horizon…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Zhi-Chao Li , H. Khodabakhshi , H. Lu

We investigate the collapse of a circularly symmetric star with outgoing radiation in ($2+1$)-dimensional anti-de Sitter spacetime. The exterior spacetime of the collapsing star is assumed to be described by the non-static generalization of…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Ranjan Sharma , Shyam Das , Farook Rahaman , Gopal Chandra Shit

Complete tensor-scalar and hydrodynamic equations are presented and integrated, for a self-gravitating perfect fluid. The initial conditions describe unstable-equilibrium neutron star configuration, with a polytropic equation of state. They…

General Relativity and Quantum Cosmology · Physics 2009-10-30 J. Novak

The present work includes an analytical investigation of a collapsing spherical star in f (R) gravity. The interior of the collapsing star admits a conformal flatness. Information regarding the fate of the collapse is extracted from the…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Soumya Chakrabarti , Rituparno Goswami , Sunil Maharaj , Narayan Banerjee
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