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Related papers: Black hole hydrodynamics

200 papers

The comparison of geometrical properties of black holes with classical thermodynamic variables reveals surprising parallels between the laws of black hole mechanics and the laws of thermodynamics. Since Hawking's discovery that black holes…

History and Philosophy of Physics · Physics 2019-03-18 Carina E. A. Prunkl , Christopher G. Timpson

We review the Analogue Gravity description of a unidirectional water wave system, assuming no prior knowledge of General Relativity or differential geometry. In so doing, we generalize established results concerning an effective curved…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Alessia Biondi , Scott Robertson , Germain Rousseaux

Black holes are the fascinating objects in the universe. They represent extreme deformations in spacetime geometry. Here, we construct f(P) gravity and the first example of static-spherically symmetric black hole solution in f(P) gravity…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Aniruddha Ghosh , Ujjal Debnath

In this work, we exactly derive the solution for the gravitational field of a black hole in Eddington-inspired Born-Infeld (EiBI) gravity, surrounded by perfect fluid dark matter. We analyze how the event horizon and the black hole…

General Relativity and Quantum Cosmology · Physics 2026-03-11 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória

The standard (Euclidean) action principle for the gravitational field implies that for spacetimes with black hole topology, the opening angle at the horizon and the horizon area are canonical conjugates. It is shown that the opening angle…

General Relativity and Quantum Cosmology · Physics 2010-04-06 S. Carlip , C. Teitelboim

We study thermodynamics and geometrothermodynamics of a particular black hole configuration with a nonlinear source. We use the mass as fundamental equation, from which it follows that the curvature radius must be considered as a…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Alberto Sánchez

We study spherically symmetric static solutions to the semi-classical Einstein equation sourced by the vacuum energy of quantum fields in the curved space-time of the same solution. We found solutions that are small deformations of the…

High Energy Physics - Theory · Physics 2018-03-14 Pei-Ming Ho , Yoshinori Matsuo

We assume the validity of the Bekenstein-Hawking entropy, as given in terms of the horizon area of the Bardeen regular black hole, and consider it as the fundamental thermodynamic equation. We derive and investigate the behavior of the main…

General Relativity and Quantum Cosmology · Physics 2025-02-10 H. Quevedo , M. N. Quevedo , A. Sanchez

This paper delineates the first steps in a systematic quantitative study of the spacetime fluctuations induced by quantum fields in an evaporating black hole. We explain how the stochastic gravity formalism can be a useful tool for that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. L. Hu , Albert Roura

We explain how quantum gravity, treated as an effective field theory, might modify the evaporative evolution of a four-dimensional, non-extremal, non-rotating, charged black hole. With some approximations, we derive a set of coupled…

General Relativity and Quantum Cosmology · Physics 2023-04-04 Ruben Campos Delgado

We study the thermodynamic properties of black hole horizons in Einstein Gauss Bonnet gravity. We derive the thermodynamic products of characteristic parameters to mark which are global. We further interpret the stability of the black holes…

General Relativity and Quantum Cosmology · Physics 2015-11-03 Abhijit Mandal , Ritabrata Biswas

A spacetime is a connected 4-dimensional semi-Riemannian manifold endowed with a metric $g$ with signature $(- + + +)$. The geometry of a spacetime is described by the metric tensor $g$ and the Ricci tensor $S$ of type $(0, 2)$ whereas the…

Differential Geometry · Mathematics 2019-08-12 R. Deszcz , A. H. Hasmani , V. G. Khambholja , A. A. Shaikh

The Bardeen solution corresponding to Einstein field equations with a cosmological constant is a regular black hole. The main goal of this manuscript is to investigate the geometric structures in terms of curvature conditions admitted by…

Differential Geometry · Mathematics 2022-07-15 Absos Ali Shaikh , Shyamal Kumar Hui , Mousumi Sarkar

We explore the relationship between the first law of thermodynamics and gravitational field equation at a static, spherically symmetric black hole horizon in Ho\v{r}ava-Lifshtiz theory with/without detailed balance. It turns out that as in…

High Energy Physics - Theory · Physics 2010-05-07 Rong-Gen Cai , Nobuyoshi Ohta

We consider deformation of the d+2 dimensional asymptotically flat Schwarzschild black hole spacetime with the induced metric on a d-sphere at $r=r_c$ held fixed. This is done without taking the near horizon limit. The deformation is…

High Energy Physics - Theory · Physics 2011-09-13 Ryuichi Nakayama

We derive the black hole solutions with horizons of non-trivial topology and investigate their properties in the framework of an approach to quantum gravity being an extension of Bohm's formulation of quantum mechanics. The solutions we…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Kowalski-Glikman , D. Nowak-Szczepaniak

Black holes exist all over our Universe, possessing a very wide range of masses. At the moment, they serve as a probe to test general relativity at astrophysical scales, but in the future they may also give us information about gravity at…

High Energy Physics - Theory · Physics 2025-10-24 Tiago V. Fernandes

Optical field fluctuations in self-defocusing media can be described in terms of sound waves in a 2D photon-fluid. It is shown that, while the background fluid couples with the usual flat metric, sound-like waves experience an effective…

General Relativity and Quantum Cosmology · Physics 2008-12-03 Francesco Marino

The geometry of a two-dimensional surface in a curved space can be most easily visualized by using an isometric embedding in flat three-dimensional space. Here we present a new method for embedding surfaces with spherical topology in flat…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mihai Bondarescu , Miguel Alcubierre , Edward Seidel

Gravitational waves from neutron-star and black-hole binaries carry valuable information on their physical properties and probe physics inaccessible to the laboratory. Although development of black-hole gravitational-wave templates in the…

General Relativity and Quantum Cosmology · Physics 2014-10-30 Charalampos M. Markakis