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We show that if the total internal energy of a black hole is constructed as the sum of $N$ photons all having a fixed wavelength chosen to scale with the Schwarzschild radius as $\lambda=\alpha R_{s}$, then $N$ will scale with $R_{s}^{2}$.…

General Relativity and Quantum Cosmology · Physics 2016-08-31 X. Hernandez , C. S. Lopez-Monsalvo , S. Mendoza , R. A. Sussman

Using the solution phase space method, we investigate the thermodynamics of black holes in Einstein-aether-Maxwell theory, for which the traditional Wald method (covariant phase space method) fails. We show the first laws of thermodynamics…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Hai-Feng Ding , Xiang-Hua Zhai

Black hole solutions are explored in the Lorentz gauge theory of gravity. The fields of the theory are the gauge potential in the adjoint and a scalar in the fundamental representation of the Lorentz group, a metric tensor then emerging as…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Tomi S. Koivisto , Luxi Zheng

The Wheeler-DeWitt (WDW) equation for the Kantowski-Sachs model can also be understood as the WDW-equation corresponding to the Schwarzschild black hole due to the well known diffeomorphism between these two metrics. The WDW-equation and…

High Energy Physics - Theory · Physics 2010-02-24 J. C. López-Domínguez , O. Obregón , S. Zacarías

We prove that a class of solutions to Einstein's equations---originally discovered by G. C. McVittie in 1933---includes regular black holes embedded in Friedman-Robertson-Walker cosmologies. If the cosmology is dominated at late times by a…

High Energy Physics - Theory · Physics 2010-07-29 Nemanja Kaloper , Matthew Kleban , Damien Martin

Consider a particle sitting at a fixed position outside of a stable black hole. If the system is heated up, the black hole horizon grows and there should exist a critical temperature above which the particle enters the black hole interior.…

High Energy Physics - Theory · Physics 2016-02-01 Frank Ferrari

We present a new solution in Einstein's General Relativity representing a Schwarzschild black hole immersed in a rotating universe. Such a solution is constructed analytically by means of the last unexplored Lie point symmetry of the Ernst…

General Relativity and Quantum Cosmology · Physics 2024-02-08 Marco Astorino , Riccardo Martelli , Adriano Viganò

We construct spacetimes which provide spherical and nonspherical models of black hole formation in the flat Friedmann--Lemaitre--Robertson--Walker (FLRW) universe with the Lemaitre--Tolman--Bondi solution and the Szekeres quasispherical…

General Relativity and Quantum Cosmology · Physics 2016-10-25 Tomohiro Harada , Sanjay Jhingan

We investigate the dynamics of black hole critical collapse in the limit of a large number of spacetime dimensions, $D$. In particular, we study the spherical gravitational collapse of a massless, scale-invariant scalar field with…

High Energy Physics - Theory · Physics 2025-11-10 Craig R. Clark , Guilherme L. Pimentel

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 investigate the consequences for the black hole area of introducing fractal structure for the horizon geometry. We create a three-dimensional spherical analogue of a 'Koch Snowflake' using a infinite diminishing hierarchy of touching…

General Relativity and Quantum Cosmology · Physics 2020-08-06 John D. Barrow

The string equations of motion and constraints are solved for a ring shaped Ansatz in cosmological and black hole spacetimes. In FRW universes with arbitrary power behavior [$R(X^0) = a\;|X^0|^{\a}\, $], the asymptotic form of the solution…

High Energy Physics - Theory · Physics 2009-10-22 H. J. de Vega , I. L. Egusquiza

We study the global structure of the exact two-dimensional space-time which emerges from string theory. Previous work has shown that in the semi-classical limit, this is a black hole similar to the Schwarzschild solution. However, we find…

High Energy Physics - Theory · Physics 2009-10-22 Malcolm J. Perry , Edward Teo

In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigoris Panotopoulos

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

The internal structure of a charged spherical black hole is still a topic of debate. In a nonrotating but aspherical gravitational collapse to form a spherical charged black hole, the backscattered gravitational wave tails enter the black…

General Relativity and Quantum Cosmology · Physics 2019-08-15 A. Bonanno , S. Droz , W. Israel , S. M. Morsink

We numerically construct an one-parameter family of initial data of an expanding inhomogeneous universe model which is composed of regularly aligned black holes with an identical mass. They are initial data for vacuum solutions of the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Chul-Moon Yoo , Hiroyuki Abe , Yohsuke Takamori , Ken-ichi Nakao

We study spherical black-hole solutions in Einstein-aether theory, a Lorentz-violating gravitational theory consisting of General Relativity with a dynamical unit timelike vector (the "aether") that defines a preferred timelike direction.…

General Relativity and Quantum Cosmology · Physics 2011-07-11 Enrico Barausse , Ted Jacobson , Thomas P. Sotiriou

In a recent paper [arXiv:1206.4916] by T. Padmanabhan, it was argued that our universe provides an ideal setup to stress the issue that cosmic space is emergent as cosmic time progresses and that the expansion of the universe is due to the…

General Relativity and Quantum Cosmology · Physics 2012-11-09 Rong-Gen Cai

The gravitational collapse of a pressureless fluid in general relativity (Oppenheimer-Snyder collapse) results in a black hole. The study of the same phenomenon in the brane-world scenario has shown that the exterior of the collapsing dust…

High Energy Physics - Theory · Physics 2010-10-27 László Á. Gergely