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The analog of the Schwarzschild metric is explored in the context of Non-Singular Gravity. Analytic results are developed describing redshifts, curvatures and topological features of the spacetime. All curvatures and redshifts are finite so…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Neil Cornish

Schwarzschild (non-rotating and chargeless) black holes are classically understood to be voids of extreme gravitation. In this study, we propose a holographic model for their interiors, envisioning them instead as a hydrodynamic medium.…

General Physics · Physics 2025-05-05 Noah M. MacKay

We construct a new static, spherically symmetric black hole spacetime embedded in a dark matter halo whose density follows the cored Burkert profile. Starting from the halo-only geometry determined by the rotation curve relation, we solve…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Yi Yang , Gaetano Lambiase , Ali Ovgun , Dong Liu , Zheng-Wen Long

The basic and conceptual notion of this work starts from the recent investigations of Marios Christodoulou and Carlo Rovelli (CR) in their paper entitled ''How big is a black hole?''. This work is related to the black hole interior volume…

General Relativity and Quantum Cosmology · Physics 2025-09-04 Shad Ali

We study the relativistic orbit of binary black holes in systems with small mass ratio. The trajectory of the smaller object (another black hole or a neutron star), represented as a particle, is determined by the geodesic equation on the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. O. Lousto

These notes introduce the fundamentals of black hole geometry, the thermality of the vacuum, and the Hawking effect, in spacetime and its analogues. Stimulated emission of Hawking radiation, the trans-Planckian question, short wavelength…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ted Jacobson

The simplest possible equation for Hawking radiation, and other black hole radiated power is derived in terms of black hole density. Black hole density also leads to the simplest possible model of a gas of elementary constituents confined…

General Physics · Physics 2007-05-23 Mario Rabinowitz

The linear response of a Schwarzschild black hole to an external quadrupolar perturbation is studied in analogy to a mechanical electrodynamical system, with the goal to describe the gravitational polarizability. Its causality properties…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Gabriel Vidal , Gabriel M. Dantas , Riccardo Sturani , Gabriel Menezes

Detection of gravitational waves (GWs) paves the beginning of a new era of gravitational wave astronomy. Black holes (BHs) in their ringdown phase provide the cleanest signal of emitted GWs that imprint the fundamental nature of BHs under…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Rajesh Karmakar , Debaprasad Maity

The Dehnen - type dark matter density distribution model is mainly used for dwarf galaxies. In recent years, researchers have speculated that black holes may exist in this dark matter model and have given the black hole metric solutions. On…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Qi-Qi Liang , Dong Liu , Zheng-Wen Long

A microscopic derivation of the Bekenstein-Hawking entropy for the Schwarzschild black hole was presented earlier by using a non-trivial phase space. It was argued that the Schwarzschild black hole behaves like a 1D quantum mechanical…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Naman Kumar

In this paper, we successfully derive the Bekenstein-Hawking entropy for Schwarzschild black holes in various dimensions by using a non-trivial phase space. It is appealing to notice that the thermodynamics of a Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2020-05-05 Yong Xiao

We study axial gravitational perturbations of the Dymnikova regular black hole, an asymptotically flat spacetime in which the Schwarzschild singularity is replaced by a de Sitter core. Using the WKB method with Pad\'e approximants, we…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Alexey Dubinsky

Realistic modelling of radiation transfer in and from variable accretion disks around black holes requires the solution of the problem: find the constants of motion and equation of motion of a light-like geodesic connecting two arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-03-01 Andrej Cadez , Uros Kostic

In the static and infalling spherical-shell models of optically thin accretion on Schwarzschild black hole, the formulas for the integrated intensities observed by a distant observer are derived, and by taking the monochromatic emission…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Bofeng Wu , En-Wei Liang , Xiao Zhang

A modified (Anti-)de Sitter Schwarzschild black hole solution is presented in the framework of rainbow gravity with a cosmological constant. Its thermodynamical properties are investigated. In general the temperature of modified black holes…

General Relativity and Quantum Cosmology · Physics 2009-03-27 Huarun Li , Yi Ling , Xin Han

We present a comprehensive study of the quasinormal modes of a new class of nonlocal static and spherically symmetric black hole (BH) solutions within the framework of the revised Deser-Woodard theory of gravity. These solutions are…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Rocco D'Agostino , Vittorio De Falco

We investigate the shadow of an exact black hole solution of Einstein's equations recently proposed by Cardoso et al., to describe a supermassive black hole immersed in a dark matter halo. We analyze and discuss the light rings and the…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Sérgio V. M. C. B. Xavier , Haroldo C. D. Lima Junior , Luís C. B. Crispino

Schwarzschild coordinates (r,t) fail to describe the region within the event horizon (EH), (r <= 2 M), of a Black Hole (BH) because the metric coefficients exhibit singularity at r=2 M, and the radial geodesic of a particle appears to be…

Astrophysics · Physics 2007-05-23 Abhas Mitra

Astrophysical black holes (BHs) are universally expected to be described by the Kerr metric, a stationary, vacuum solution of general relativity (GR). Indeed, by imaging M87$^\star$ and Sgr A$^\star$ and measuring the size of their shadows,…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Prashant Kocherlakota , Luciano Rezzolla , Rittick Roy , Maciek Wielgus