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We formulate spacetime inequalities applicable to quantum-corrected black holes to all orders of backreaction in semiclassical gravity. Namely, we propose refined versions of the quantum Penrose and reverse isoperimetric inequalities, valid…

High Energy Physics - Theory · Physics 2024-06-27 Antonia M. Frassino , Robie A. Hennigar , Juan F. Pedraza , Andrew Svesko

Unless the reality of spacetime singularities is assumed, astrophysical black holes cannot be identical to their mathematical counterparts obtained as solutions of the Einstein field equations. Mechanisms for singularity regularization…

General Relativity and Quantum Cosmology · Physics 2021-02-01 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

A class of exact solutions of the Einstein-Maxwell equations is presented which describes an accelerating and rotating charged black hole in an asymptotically de Sitter or anti-de Sitter universe. The metric is presented in a new and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Podolsky , J. B. Griffiths

It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Hiroaki W. H. Tahara , Kazufumi Takahashi , Masato Minamitsuji , Hayato Motohashi

In this work we have presented a special class of Kerr-Newman-NUT black hole, having its horizon located precisely at $r=2M$, for $Q^{2}=l^{2}-a^{2}$, where $M$, $l$, $a$ and $Q$ are respectively mass, NUT, rotation and electric charge…

General Relativity and Quantum Cosmology · Physics 2019-03-05 Sajal Mukherjee , Sumanta Chakraborty , Naresh Dadhich

We show that loop quantum gravity effects leads to the finiteness of expansion and its rate of change in the effective regime in the interior of the Schwarzschild black hole. As a consequence the singularity is resolved. We find this in…

General Relativity and Quantum Cosmology · Physics 2022-03-07 Keagan Blanchette , Saurya Das , Samantha Hergott , Saeed Rastgoo

We consider the class of metrics that can be obtained from those of nonextreme black holes by limiting transitions to the extreme state such that the near-horizon geometry expands into a whole manifold. These metrics include, in particular,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. B. Zaslavskii

In this paper we argue that the well-known maximal extensions of the Kerr and Kerr-Newman spacetimes characterized by a specific gluing (on disks) of two asymptotically flat regions with ADM masses of opposite signs are physically…

General Relativity and Quantum Cosmology · Physics 2015-11-06 H. Garcia-Compean , V. S. Manko

Black Holes have always played a central role in investigations of quantum gravity. This includes both conceptual issues such as the role of classical singularities and information loss, and technical ones to probe the consistency of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald

General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems. For a long time there have been indications that quantum gravity will…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald

A seemingly natural mechanism is proposed, that could stop the gravitational collapse of a very massive body. Without needing to change the concept of the collapsing process itself, that is, without invoking thin layers nor resorting to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Emilio Elizalde , Sergi R. Hildebrandt

In general, the field equation of $f(R)$ gravitational theory is very intricate, and therefore, it is not an easy task to derive analytical solutions. We consider rotating black hole spacetime four-dimensional in the $f(R)$ gravitational…

General Relativity and Quantum Cosmology · Physics 2023-06-14 G. L. N. Nashed , Shin'ichi Nojiri

We explore the extraction of energy from a rotating black hole spacetime modified by a quantum correction parameter \( \alpha \). Focusing on particle splitting within the ergoregion, we analyze the Penrose process and compute the…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Urooj Fatima , G. Abbas

Among various strong-curvature extensions to General Relativity, Einstein-Dilaton-Gauss-Bonnet gravity stands out as the only nontrivial theory containing quadratic curvature corrections while being free from the Ostrogradsky instability to…

General Relativity and Quantum Cosmology · Physics 2018-03-05 Andrea Maselli , Paolo Pani , Leonardo Gualtieri , Valeria Ferrari

Behaviour of singularities of the rotating black holes under an arbitrary boost is considered on the basis of a complex representation of the Kerr theorem. We give a simple algorithm allowing to get explicit expressions for the metric and…

High Energy Physics - Theory · Physics 2011-04-15 Alexander Burinskii , Giulio Magli

We perform the shadow calculation of the loop quantum gravity motivated regular black hole recently proposed by Ashtekar, Olmedo and Singh (will be termed AOS black hole hereafter). In the process, we also construct the rotating loop…

General Relativity and Quantum Cosmology · Physics 2023-01-24 Saraswati Devi , Abhinove Nagarajan S , Sayan Chakrabarti , Bibhas Ranjan Majhi

Exact solutions describing rotating black holes can provide significant opportunities for testing modified theories of gravity, which are motivated by the challenges posed by dark energy and dark matter. Starting with a spherical Kiselev…

General Relativity and Quantum Cosmology · Physics 2023-07-24 Sushant G. Ghosh , Shafqat Ul Islam , Sunil D. Maharaj

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

This work presents the foundations of Singular Semi-Riemannian Geometry and Singular General Relativity, based on the author's research. An extension of differential geometry and of Einstein's equation to singularities is reported.…

General Relativity and Quantum Cosmology · Physics 2014-01-27 Ovidiu Cristinel Stoica

Recently, two new spherically symmetric black hole models with covariance have been proposed in effective quantum gravity. Based on these models, we use the modified Newman-Janis algorithm to generate two rotating quantum-corrected black…

General Relativity and Quantum Cosmology · Physics 2024-11-15 Zhenglong Ban , Jiawei Chen , Jinsong Yang