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The numerical integration of particle trajectories in curved spacetimes is fundamental for obtaining realistic models of the particle dynamics around massive compact objects such as black holes and neutron stars. Generalized algorithms…

High Energy Astrophysical Phenomena · Physics 2018-07-18 Fabio Bacchini , Bart Ripperda , Alexander Yuran Chen , Lorenzo Sironi

In this work we construct several black hole metrics which are consistent with the generalized uncertainty principle logarithmic correction to the Bekenstein-Hawking entropy formula. After preserving the event horizon at the usual position,…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Ernesto Contreras , Fabián D. Villalba , Pedro Bargueño

We investigate shadows, deflection angle, quasinormal modes (QNMs), and sparsity of Hawking radiation of the Schwarzschild string cloud black hole's solution after applying quantum corrections required by the Generalised Uncertainty…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Ahmad Al-Badawi , Sanjar Shaymatov , Sohan Kumar Jha , Anisur Rahaman

We study the hydrodynamic self-similar mass collapses of general polytropic (GP) spherical clouds to central Schwarzschild black holes and void evolution with or without shocks. In order to grossly capture characteristic effects of general…

Solar and Stellar Astrophysics · Physics 2014-03-04 Biao Lian , Yu-Qing Lou

We study the entropy evolution of black holes in Lovelock gravity by formulating a thermodynamic generalization of null Raychaudhuri equation. We show that the similarity between the expressions of entropy change of the black hole horizon…

General Relativity and Quantum Cosmology · Physics 2018-07-25 C. Fairoos , Avirup Ghosh , Sudipta Sarkar

We study the Quasinormal Modes (QNMs) of the Schwarzschild black hole surrounded by a quintessence field after implementing the quantum corrections to its solution as required by the Generalised Uncertainty Principle (GUP). We analyse the…

General Relativity and Quantum Cosmology · Physics 2023-01-02 Ronit Karmakar , Dhruba Jyoti Gogoi , Umananda Dev Goswami

The Generalized Uncertainty Principle (GUP) and Extended Uncertainty Principle (EUP) are modifications to the Heisenberg Uncertainly Principle (HUP), expected to apply as the energy approaches the Planck scale. Here we consider a possible…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Bernard Carr , Jonas Mureika

Cutting out an infinite tube around $r=0$ formally removes the Schwarzschild singularity, but without a physical mechanism this procedure seems ad hoc and artificial. In this paper we provide justification for such a mechanism by means of…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Jens Boos

In this paper, we continue the analysis of the effective model of quantum Schwarzschild black holes recently proposed by some of the authors in [1,2]. In the resulting spacetime the central singularity is resolved by a black-to-white hole…

General Relativity and Quantum Cosmology · Physics 2022-02-28 Fabio M. Mele , Johannes Münch , Stratos Pateloudis

We carefully investigate, extend, and shed new light on the McVittie exact solution of Einstein's gravity (EG) with the focus on the implications in the Universe we live in. It turns out that the only known exact solution of EG, which…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Leonardo Modesto , Edoardo Rattu

We compute the corrections to the Schwarzschild metric necessary to reproduce the Hawking temperature derived from a Generalized Uncertainty Principle (GUP), so that the GUP deformation parameter is directly linked to the deformation of the…

High Energy Physics - Theory · Physics 2015-09-30 Fabio Scardigli , Roberto Casadio

In this paper we study the effect of the Generalized Uncertainty Principle (GUP) on the shadow of GUP-modified Kerr black hole and the correspondence between the shadow radius and the real part of the quasinormal modes (QNMs). We find that…

General Relativity and Quantum Cosmology · Physics 2022-04-11 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Tao Zhu

A naive introduction of a dependency of the mass of a black hole on the Schwarzschild time coordinate results in singular behavior of curvature invariants at the horizon, violating expectations from complementarity. If instead a temporal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James Lindesay

Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's…

General Relativity and Quantum Cosmology · Physics 2014-03-06 Ovidiu Cristinel Stoica

In this work, we consider generalized uncertainty principles (GUPs) that incorporate a minimal length through generic momentum-dependent deformation functions. We thus develop a systematic approach connecting such a framework to effective…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Rocco D'Agostino , Pasquale Bosso , Giuseppe Gaetano Luciano

Classical chaos is often characterized as exponential divergence of nearby trajectories. In many interesting cases these trajectories can be identified with geodesic curves. We define here the entropy by $S = \ln \chi (x)$ with $\chi(x)$…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Gilbert Weinstein , Yosef Strauss , Sergey Bondarenko , Asher Yahalom , Meir Lewkowicz , Lawrence Paul Horwitz , Jacob Levitan

We study the black hole thermodynamics and obtain the correction terms for temperature, entropy, and heat capacity of the Schwarzschild black hole, resulting from the commutation relations in the framework of {\it Modified Generalized…

General Relativity and Quantum Cosmology · Physics 2015-06-05 K. Zeynali , F. Darabi , H. Motavalli

We study the interior of the Schwarzschild black hole which is isometric to the Kantowski-Sachs cosmological model, using a fully relational and gauge-invariant quantization framework. The physical Hilbert space is constructed via refined…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Paolo Fragolino , Saeed Rastgoo

The geodesic deviation equation, describing the relative accelerations of nearby particles, and the Raychaudhury equation, giving the evolution of the kinematical quantities associated with deformations (expansion, shear and rotation) are…

General Relativity and Quantum Cosmology · Physics 2012-12-20 Tiberiu Harko , Francisco S. N. Lobo

In this work we present a derivation of modified Raychaudhuri and Friedmann equations from a phenomenological model of quantum gravity based on the thermodynamics of spacetime. Starting from general gravitational equations of motion which…

General Relativity and Quantum Cosmology · Physics 2023-09-13 Ana Alonso-Serrano , Marek Liška , Antonio Vicente-Becerril