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We study the gravitational collapse of a generalised Vaidya spacetime in the context of the Cosmic Censorship hypothesis. We develop a general mathematical framework to study the conditions on the mass function so that future directed…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Maombi D. Mkenyeleye , Rituparno Goswami , Sunil D. Maharaj

We consider some classes of Horndeski theories in four dimensions for which a certain combination of the Einstein equations within a spherical ansatz splits into two distinct branches. Recently, for these theories, some integrability and…

High Energy Physics - Theory · Physics 2023-09-26 Mokhtar Hassaine , Ulises Hernandez-Vera , Franco Lara-Munoz

We demonstrate that the non-vacuum field equations of Cotton gravity and Conformal Killing gravity admit a generalized class of Vaidya-type solutions. In particular, beyond the standard induced term associated with the matter source, the…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Metin Gürses , Yaghoub Heydarzade , Çetin Şentürk

This paper discusses the problem of gravitational perturbations of radiating spacetimes. We lay out the theoretical framework for describing the interaction of external gravitational fields with a radiating spacetime. This is done by…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Manasse R. Mbonye , Ronald L. Mallett

Higher-order theories of gravity have received much attention from several areas including quantum gravity, string theory and cosmology. This paper proposes a higher-order gravity whose action includes all curvature scalar terms up to the…

General Relativity and Quantum Cosmology · Physics 2020-08-04 G. Rodrigues-da-Silva , L. G. Medeiros

In this paper we discuss modified gravity models in which growth of the curvature is dynamically restricted. To illustrate interesting features of such models we consider a modification of two-dimensional dilaton gravity theory which…

High Energy Physics - Theory · Physics 2021-09-15 Valeri P. Frolov , Andrei Zelnikov

We study some quantum mechanical aspects of dynamical black holes where the Vaidya metric is used as a model representing evaporating black holes. It is shown that in this model the Wheeler-DeWitt equation is solvable in whole region of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ichiro Oda

The occurrence of a spacetime singularity indicates the breakdown of Einstein gravitation theory in these extreme regimes. We consider here the singularity issue and various black hole paradoxes at classical and quantum levels. It is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rituparno Goswami , Pankaj S. Joshi

Kerr-Vaidya metrics are the simplest dynamical axially-symmetric solutions, all of which violate the null energy condition and thus are consistent with the formation of a trapped region in finite time according to distant observers. We…

General Relativity and Quantum Cosmology · Physics 2025-01-24 Pravin K. Dahal , Swayamsiddha Maharana , Fil Simovic , Daniel R. Terno

We show via an explicit construction how an infinite tower of higher-curvature corrections generically leads to a resolution of the Schwarzschild singularity in any spacetime dimension $D \ge 5$. The theories we consider have two key…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Valeri P. Frolov , Andrei Zelnikov

Effective field theory methods suggest that some rather-general extensions of General Relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary.…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Leonardo Senatore

We determine hidden conformal symmetries behind the evolution equations of black hole perturbations in a vector-tensor theory of gravity. Such hidden symmetries are valid everywhere in the exterior region of a spherically symmetric,…

General Relativity and Quantum Cosmology · Physics 2023-12-04 Bill Atkins , Gianmassimo Tasinato

Static black holes in the conformal anomaly-sourced semi-classical General Relativity in four dimensions were extended to rotating, stationary solutions, recently. These quantum-corrected black holes show different features compared to the…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Metin Gurses , Bayram Tekin

In this work, we have assumed the generalized Vaidya solution in Lovelock theory of gravity in $(n+2)$-dimensions. It has been shown that Gauss-Bonnet gravity, dimensionally continued Lovelock gravity and pure Lovelock gravity can be…

General Relativity and Quantum Cosmology · Physics 2011-09-12 Prabir Rudra , Ritabrata Biswas , Ujjal Debnath

In general relativity, the Einstein equations provide spherically symmetric static spacetimes with dynamics defined as an evolution along the radial coordinate $r$. The geometrical sector becomes a one-dimensional mechanical system, with…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Etera R. Livine , Yuki Yokokura

Static spherically symmetric solutions for conformal gravity in three dimensions are found. Black holes and wormholes are included within this class. Asymptotically the black holes are spacetimes of arbitrary constant curvature, and they…

High Energy Physics - Theory · Physics 2009-07-28 Julio Oliva , David Tempo , Ricardo Troncoso

We present a systematic method for constructing static, spherically symmetric regular spacetimes in general relativity satisfying the weak energy condition. Our approach relies on physically reasonable assumptions on the matter energy…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Zi-Liang Wang , Emmanuele Battista

We present a kind of generalized Vaidya solutions of a new cubic gravity in five dimensions whose field equations in spherically spacetime are always second order like the Lovelock gravity. We also study the thermodynamics of its apparent…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Shan-Ming Ruan