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Hamiltonian description of gravitational field contained in a spacetime region with boundary $S$ being a null-like hypersurface (a wave front) is discussed. Complete generating formula for the Hamiltonian dynamics (with no surface integrals…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. Czuchry , J. Jezierski , J. Kijowski

General Relativity predicts the existence of black-holes. Access to the complete space-time manifold is required to describe the black-hole. This feature necessitates that black-hole dynamics is specified by future or teleological boundary…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Swastik Bhattacharya , S. Shankaranarayanan

We investigate analogue gravity phenomena arising as a result of the linear perturbation of the spherically symmetric accretion flows onto non rotating black holes, where the gravitational field is determined by a set of post Newtonian…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Tuhin Paul , Aishee Chakraborty , Souvik Ghose , Tapas K. Das

The geometry of three-dimensional space guides the search for a better model than the blackhole with its unwelcome singularity. An elementary construction produces on the 4-manifold of 2-spheres in a Riemannian 3-space a space-time metric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

The gravity water wave black (GWBH) hole analog discovered by Schutzhold and Unruh (SU) is extended to allow for the presence of turbulent shear flow. The Riemannian geometry of turbulent black holes (BH) analogs in water waves is computed…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

In this work we suggest a simplified "quasi-classical" formalism of the Schwarzschild black hole thermodynamics. We define such small quantum system at Schwarzschild black hole horizon surface whose reduced Compton wavelength equals one…

General Physics · Physics 2020-09-22 Vladan Pankovic

The Hawking-Penrose singularity theorem states that a singularity forms inside a black hole in general relativity. To remove this singularity one must resort to a more fundamental theory. Using a corrected dynamical equation arising in loop…

General Relativity and Quantum Cosmology · Physics 2018-01-15 Changjun Gao , Youjun Lu , You-Gen Shen , Valerio Faraoni

We define, by an integral of geometric quantities over a spherical shell of arbitrary radius, an invariant gravitational entropy. This definition relies on defining a gravitational energy and pressure, and it reduces at the horizon of both…

High Energy Physics - Theory · Physics 2015-06-03 Ram Brustein , A. J. M. Medved

We derive universal properties of the near-horizon geometry of spherically symmetric black holes that follow from the observability of a regular apparent horizon. Only two types of solutions are admissible. After reviewing their properties…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Sebastian Murk , Daniel R. Terno

We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear…

High Energy Physics - Theory · Physics 2008-11-26 Ahmad Sheykhi

In a wide range of quantum gravity theories, quasiclassical geometries, which are solutions to the Einstein field equations approximately, are described by "coherent states." Here we propose a Hamiltonian formalism for gravitational…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Sijia Wang , Achintya Sajeendran , Dong-han Yeom , Robert B. Mann , Joshua Foo

We provide a general algorithm to construct a Hamiltonian, such that its dynamical flow covariantly defines any given spherically symmetric and static metric. This Hamiltonian is defined as a linear combination of the standard (general…

General Relativity and Quantum Cosmology · Physics 2025-11-21 Asier Alonso-Bardaji , David Brizuela

A description of the event horizon of a perturbed Schwarzschild black hole is provided in terms of the intrinsic and extrinsic geometries of the null hypersurface. This description relies on a Gauss-Codazzi theory of null hypersurfaces…

General Relativity and Quantum Cosmology · Physics 2011-12-06 Ian Vega , Eric Poisson , Ryan Massey

We show that a formalism for analyzing the near-horizon conformal symmetry of Schwarzschild black holes using a scalar field probe is capable of describing black hole decay. The equation governing black hole decay can be identified as the…

High Energy Physics - Theory · Physics 2015-06-26 Kumar S. Gupta , Siddhartha Sen

In loop quantum gravity, the quantum geometry of a black hole horizon consist of discrete non-perturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. If these…

General Relativity and Quantum Cosmology · Physics 2016-11-07 Abhishek Majhi

The Hessian of the entropy function can be thought of as a metric tensor on the state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the…

General Relativity and Quantum Cosmology · Physics 2009-01-14 Jan Aman , Ingemar Bengtsson , Narit Pidokrajt

Gravitational waves from merging binary black holes present exciting opportunities for understanding fundamental aspects of gravity, including nonlinearities in the strong-field regime. One challenge in studying and interpreting the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Siddharth Boyeneni , Jiaxi Wu , Elias R. Most

We search for acoustic analogues of a spherical symmetric black hole with a pointlike source. We show that the gravitational system has a dynamical counterpart in the constrained, steady motion of a fluid with a planar source. The equations…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mariano Cadoni , Salvatore Mignemi

We obtain an exact solution of Einstein's equations for a charged, static and spherically symmetric body, surrounded by a fluid of strings and with a cosmological constant. This corresponds to the Reissner-Nordstr\"om (de Sitter)-Anti de…

General Relativity and Quantum Cosmology · Physics 2020-12-30 J. M. Toledo , V. B. Bezerra

The horizon structure and thermodynamics of hairy spherically symmetric black holes generated by the gravitational decoupling method are carefully investigated. The temperature and heat capacity of the black hole is determined, as well as…

General Relativity and Quantum Cosmology · Physics 2022-07-11 Rogerio T. Cavalcanti , Kelvin dos S. Alves , Julio M. Hoff da Silva
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