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In this paper we excavate, for the first time, the most general class of conformal Killing vectors, that lies in the two dimensional subspace described by the null and radial co-ordinates, that are admitted by the generalised Vaidya…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Samson Ojako , Rituparno Goswami , Sunil D. Maharaj , Rivendra Narain

In this paper, the different properties of generalized Vaidya spacetime are considered. We define the location of horizons. We show that the apparent horizon can contain the event horizon. The locations of all types of horizons are compared…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Vitalii Vertogradov , Dmitriy Kudryavcev

We initiate the study of the dynamics of spherically symmetric spacetimes beyond general relativity through exact solutions of the field equations of second-order effective gravitational theories defined solely in terms of the symmetries of…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Valentin Boyanov , Raúl Carballo-Rubio

Cotton theory (CT) introduces a higher derivative extension of General Relativity (GR) characterized by third-rank field equations. Recently, key distinctions between CT and GR concerning wave and vacuum solutions have been highlighted in…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Serkan Doruk Hazinedar , Yaghoub Heydarzade , Maryam Ranjbar

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

Dynamical solutions are always of interest to people in gravity theories. We derive a series of generalized Vaidya solutions in the $n$-dimensional de Rham-Gabadadze-Tolley (dRGT) massive gravity with a singular reference metric. Similar to…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Ya-Peng Hu , Xin-Meng Wu , Hongsheng Zhang

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

We study the conformal Killing equation for generic Vaidya-like spacetimes, including those with rotation. We show that these spacetimes admit a unique class of conformal Killing vectors that are homothetic for mass, charge, or rotation…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Ritwika Ghoshal , Nilay Kundu , Srijit Bhattacharjee

We investigate the charged Vaidya spacetime with conformal symmetry by classifying the horizons and finding its connection to Hawking temperature. We find a conformal Killing vector whose existence requires the mass and electric charge…

General Relativity and Quantum Cosmology · Physics 2024-02-07 Seoktae Koh , Miok Park , Abbas M. Sherif

We present a kind of generalized Vaidya solutions in a generic Lovelock gravity. This solution generalizes the simple case in Gauss-Bonnet gravity reported recently by some authors. We study the thermodynamics of apparent horizon in this…

High Energy Physics - Theory · Physics 2008-12-30 Rong-Gen Cai , Li-Ming Cao , Ya-Peng Hu , Sang Pyo Kim

The framework of General Relativity (GR) has recently been expanded through the introduction of Cotton Gravity (CG), a theoretical extension proposed by J. Harada. This modified approach integrates the Cotton tensor into the gravitational…

The process of the gravitational collapse might lead not only to a black hole but also to naked singularity formation. In this paper, we consider the generalized Vaidya spacetime with polytropic and generalized polytropic equations of…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Vitalii Vertogradov

We present a detailed study of the Vaidya solution and its generalization in de Rham-Gabadadze-Tolley (dRGT) theory. Since the diffeomorphism invariance can be restored with the St\"{u}ckelberg fields $\phi^a$ introduced, there is a new…

General Relativity and Quantum Cosmology · Physics 2016-12-19 Ping Li , Xin-zhou Li , Xiang-hua Zhai

Recently Harada has proposed a gravitational theory which is of third order in the derivatives of the metric tensor. This has attracted some attention particularly as it predicts a late-time transition from cosmological decelaration to…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Alan Barnes

It is well-known that the theory of Cotton gravity proposed by Harada is trivially solved by all isotropic and homogeneous cosmologies. We show that this under-determination is more general. More precisely, the degree of arbitrariness in…

General Relativity and Quantum Cosmology · Physics 2024-08-14 Gérard Clément , Khireddine Nouicer

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 this paper we consider the negative energy problem in generalized Vaidya spacetime. We consider several models when we have the naked singularity as a result of the gravitational collapse. In these models we investigate the geodesics for…

General Relativity and Quantum Cosmology · Physics 2022-09-23 Vitalii Vertogradov

We carry out a study of the exterior of an axially and reflection symmetric source of gravitational radiation. The exterior of such a source is filled with a null fluid produced by the dissipative processes inherent to the emission of…

General Relativity and Quantum Cosmology · Physics 2016-11-23 L. Herrera , A. Di Prisco , J. Ospino

A recently proposed approach to the construction of the Vaidya metric in double-null coordinates for generic mass functions is extended to the $n$-dimensional $(n>2)$ case and to allow the inclusion of a cosmological constant. The approach…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alberto Saa

New physics beyond General Relativity impacts black-hole spacetimes. The effects of new physics can be investigated in a largely theory-agnostic way by following the principled-parameterized approach. In this approach, a classical…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Héloïse Delaporte , Astrid Eichhorn
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