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In a recent paper we investigated stationary, relativistic Bondi-type accretion in Schwarzschild-(anti-)de Sitter spacetimes. Here we study their stability, using the method developed by Moncrief. The analysis applies to perturbations…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Patryk Mach , Edward Malec

In this paper I study stationary, spherically symmetric accretion of fluids onto a charged black hole in the presence of the cosmological constant. For some isothermal equations of state it is possible to obtain analytic solutions. In the…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Filip Ficek

In this paper, we investigate the accretion on the Reissner-Nordstr\"{o}m anti-de-Sitter black hole with global monopole charge. We discuss the general solutions of accretion using the isothermal and polytropic equations of state for steady…

General Relativity and Quantum Cosmology · Physics 2016-10-18 Ayyesha K. Ahmed , Ugur Camci , Mubasher Jamil

We analyze the properties of a polytropic fluid which is radially accreted into a Schwarzschild black hole. The case where the adiabatic index gamma lies in the range 1 < gamma <= 5/3 has been treated in previous work. In this article we…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Eliana Chaverra , Patryk Mach , Olivier Sarbach

We present a nontrivial extension of the problem of spherical accretion of a collisionless kinetic gas into the standard Schwarzschild black hole. This extension consists of replacing the Schwarzschild black hole by generic static and…

General Relativity and Quantum Cosmology · Physics 2025-09-08 Mehrab Momennia , Olivier Sarbach

We extend the derivation of the Hawking temperature of a Schwarzschild black hole via the Heisenberg uncertainty principle to the de Sitter and anti-de Sitter spacetimes. The thermodynamics of the Schwarzschild-(anti-)de Sitter black holes…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Brett Bolen , Marco Cavaglia

We investigate relativistic Bondi accretion in the Simpson-Visser spacetime, which, via a single parameter $\ell$, interpolates between the Schwarzschild, regular black hole, extremal and wormhole regimes. First, we analyze the neutral…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Serena Gambino , Roberto Giambò , Orlando Luongo

In this paper, static electrically charged black hole solutions with cosmological constant are investigated in an Einstein-Hilbert theory of gravity with additional quadratic curvature terms. Beside the analytic Schwarzschild (Anti-) de…

General Relativity and Quantum Cosmology · Physics 2016-07-18 Kai Lin , Wei-Liang Qian , A. B. Pavan , E. Abdalla

We show that the Einstein field equations with a negative cosmological constant can admit black hole solutions whose thermodynamics coincides with that of logotropic fluids, recently investigated to heal some cosmological and astrophysical…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Salvatore Capozziello , Rocco D'Agostino , Alessio Lapponi , Orlando Luongo

The equations governing general relativistic, spherically symmetric, hydrodynamic accretion of polytropic fluid onto black holes are solved in Schwarzschild metric to investigate some of the transonic properties of the flow. Only stationary…

Astrophysics · Physics 2008-11-26 Tapas Kumar Das

We prove the nonlinear stability of the Schwarzschild spacetime under axially symmetric polarized perturbations, i.e. solutions of the Einstein vacuum equations for asymptotically flat $1+3$ dimensional Lorentzian metrics which admit a…

General Relativity and Quantum Cosmology · Physics 2018-12-24 Sergiu Klainerman , Jeremie Szeftel

We consider the stationary spherical accretion process of perfect fluids onto a class of spherically symmetric regular black holes corresponding to quantum-corrected Schwarzschild spacetimes. We show that the accretion rates can differ from…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Juliano C. S. Neves , Alberto Saa

In this work we study a homogeneous and quasilocal Thermodynamics associated to the Schwarzschild-anti de Sitter black hole. The usual thermodynamic description is extended within a Hamiltonian approach with the introduction of the…

High Energy Physics - Theory · Physics 2019-10-21 W. B. Fontana , M. C. Baldiotti , R. Fresneda , C. Molina

The thermodynamic properties of Schwarzschild-anti-de Sitter black holes confined within finite isothermal cavities are examined. In contrast to the Schwarzschild case, the infinite cavity limit may be taken which, if suitably stated,…

High Energy Physics - Theory · Physics 2009-10-31 Tim Prestidge

We compare the Bondi spherical accretion model and the Novikov-Thorne thin disc formalism around regular black holes and Simpson-Visser spacetimes, using several equations of state for the accreting fluids. The Bondi model is significantly…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Serena Gambino

We demonstrate that a spherical accretion onto astrophysical black holes, under the influence of Newtonian or various post-Newtonian pseudo-Schwarzschild gravitational potentials, may constitute a concrete example of classical analogue…

Astrophysics · Physics 2007-05-23 Surajit Dasgupta , Neven Bilić , Tapas K. Das

The deep reason why the equations describing axial and polar perturbations of Schwarzschild black holes have the same spectrum is far from trivial. In this article, we revisit the original proof and try to make it clearer. Still focusing on…

General Relativity and Quantum Cosmology · Physics 2020-09-09 Flora Moulin , Aurélien Barrau

We present a concise review of known analytic results for quasinormal modes of black holes and related spacetimes. Our emphasis is on those regimes where the perturbation equations admit exact or perturbative solutions, providing insights…

General Relativity and Quantum Cosmology · Physics 2025-04-08 S. V. Bolokhov , Milena Skvortsova

We give an elementary new argument for global existence and exponential decay of solutions of quasilinear wave equations on Schwarzschild-de Sitter black hole backgrounds, for appropriately small initial data. The core of the argument is…

General Relativity and Quantum Cosmology · Physics 2021-11-19 Georgios Mavrogiannis

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Kai Lin , Wei-Liang Qian
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