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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

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 construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable…

High Energy Physics - Theory · Physics 2017-06-07 Robie A. Hennigar , David Kubiznak , Robert B. Mann

We present a new cubic theory of gravity in five dimensions which has second order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field…

General Relativity and Quantum Cosmology · Physics 2011-01-27 Julio Oliva , Sourya Ray

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

We construct the quartic version of generalized quasi-topological gravity, which was recently constructed to cubic order in arXiv: 1703.01631. This class of theories includes Lovelock gravity and a known form of quartic quasi-topological…

High Energy Physics - Theory · Physics 2017-08-23 Jamil Ahmed , Robie A. Hennigar , Robert B. Mann , Mozhgan Mir

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

In this work, we have considered the Vaidya spacetime in null radiating fluid with perfect fluid in higher dimension and have found the solution for barotropic fluid. We have shown that the Einstein's field equations can be obtained from…

General Relativity and Quantum Cosmology · Physics 2012-10-04 Ujjal Debnath

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

The Lovelock gravity extends the theory of general relativity to higher dimensions in such a way that the field equations remain of second order. The theory has many constant coefficients with no a priori meaning. Nevertheless it is…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Anderson Ilha , Antares Kleber , Jose' P. S. Lemos

We find the general solution of the Einstein equation for spherically symmetric collapse of Type II fluid (null strange quark fluid) in higher dimensions. It turns out that the nakedness and curvature strength of the shell focusing…

General Relativity and Quantum Cosmology · Physics 2016-08-31 S. G. Ghosh , Naresh Dadhich

We construct quartic quasitopological gravity, a theory of gravity containing terms quartic in the curvature that yields second order differential equations in the spherically symmetric case. Up to a term proportional to the quartic term in…

High Energy Physics - Theory · Physics 2015-05-30 M. H. Dehghani , A. Bazrafshan , R. B. Mann , M. R. Mehdizadeh , M. Ghanaatian , M. H. Vahidinia

We study the relation between the thermodynamics and field equations of generalized gravity theories on the dynamical trapping horizon with sphere symmetry. We assume the entropy of dynamical horizon as the Noether charge associated with…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Shao-Feng Wu , Xian-Hui Ge , Peng-Ming Zhang , Guo-Hong Yang

A regular Vaidya-type line-element is proposed in this work. The mass function depends both on the temporal and the spatial coordinates. The curvature invariants and the source stress tensor $T^{a}_{~b}$ are finite in the whole space. The…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Hristu Culetu

This article is concerned with the incompressible, infinite depth water wave equation in two space dimensions, with gravity and constant vorticity but with no surface tension. We consider this problem expressed in position-velocity…

Analysis of PDEs · Mathematics 2018-10-31 Mihaela Ifrim , Daniel Tataru

We derive the Hamiltonian for spherically symmetric Lovelock gravity using the geometrodynamics approach pioneered by Kucha\v{r} in the context of four-dimensional general relativity. When written in terms of the areal radius, the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Gabor Kunstatter , Tim Taves , Hideki Maeda

We explicitly confirm the expectation that generic Lovelock gravity in D dimensions has a unitary massless spin-2 excitation around any one of its constant curvature vacua just like the cosmological Einstein gravity. The propagator of the…

High Energy Physics - Theory · Physics 2012-12-20 Tahsin Cagri Sisman , Ibrahim Gullu , Bayram Tekin

The recently proposed gravitational entropy generalize the usual black hole entropy to Euclidean solutions without U(1) symmetry in the framework of Einstein gravity. The entropy of such smooth configuration is given by the area of minimal…

High Energy Physics - Theory · Physics 2013-08-07 Bin Chen , Jia-ju Zhang

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
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