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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

Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are studied. The action is, in odd dimensions, the Chern-Simons form for the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Maximo Banados , Claudio Teitelboim , Jorge Zanelli

It is shown that Einstein gravity in four dimensions with small cosmological constant and small extra dimensions can be obtained by spontaneous compactification of Lovelock gravity in vacuum. Assuming that the extra dimensions are compact…

High Energy Physics - Theory · Physics 2009-09-09 Fabrizio Canfora , Alex Giacomini , Ricardo Troncoso , Steven Willison

Lovelock theory is a natural extension of the Einstein theory of general relativity to higher dimensions in which the first and second orders correspond, respectively, to general relativity and Einstein-Gauss-Bonnet gravity. We present…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Sushant G. Ghosh , Uma Papnoi , Sunil D. Maharaj

We investigate the topological black holes in a special class of Lovelock gravity. In the odd dimensions, the action is the Chern-Simons form for the anti-de Sitter group. In the even dimensions, it is the Euler density constructed with the…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Rong-Gen Cai , Kwang-Sup Soh

Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are found. In even dimensions the solution has many similarities with the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Maximo Banados

A $(3+1)$-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. {\bf 124}, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's…

General Relativity and Quantum Cosmology · Physics 2020-09-21 R. A. Konoplya , A. Zhidenko

Lovelock gravity consisting of the dimensionally continued Euler densities is a natural generalization of general relativity to higher dimensions such that equations of motion are still second order, and the theory is free of ghosts. A…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Sushant G. Ghosh , Sunil D. Maharaj , Dharmanand Baboolal , Tae-Hun Lee

The main interest of the work exposed in this thesis is to explore hairy black holes in a more general framework than General Relativity by taking into account the presence of a cosmological constant, of higher dimensions, of exotic matter…

General Relativity and Quantum Cosmology · Physics 2012-11-02 Yannis Bardoux

We find an exact solution in dimensionally continued gravity in arbitrary dimensions which describes the gravitational collapse of a null dust fluid. Considering the situation that a null dust fluid injects into the initially anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Masato Nozawa , Hideki Maeda

A general dilaton gravity theory in 1+1 spacetime dimensions with a cosmological constant $\lambda$ and a new dimensionless parameter $\omega$, contains as special cases the constant curvature theory of Teitelboim and Jackiw, the theory…

General Relativity and Quantum Cosmology · Physics 2014-11-17 José P. S. Lemos , Paulo M. Sá

Lovelock theory is a natural extension of Einstein theory of gravity to higher dimensions, and it is of great interest in theoretical physics as it describes a wide class of models. In particular, it describes string theory inspired…

General Relativity and Quantum Cosmology · Physics 2009-08-19 Cecilia Garraffo , Gaston Giribet

We study collapse of inhomogeneous dust and null dust (Vaidya radiation) in pure Lovelock gravity in higher dimensions. Since pure Lovelock gravity is kinematic in odd d=2N+1 dimension, hence pertinent dimension for the study is even…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Naresh Dadhich , Sushant G. Ghosh , Sanjay Jhingan

It has been recently shown that regular black holes arise as the unique spherically symmetric solutions of broad families of generalizations of Einstein gravity involving infinite towers of higher-curvature corrections in $D\geq 5$…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia , Aitor Vicente-Cano

The general theory of matching conditions is developed for gravitational theories in two spacetime dimensions. Models inspired from general relativity and from string theory are considered. These conditions are used to study collapsing dust…

High Energy Physics - Theory · Physics 2010-04-06 R. B. Mann , S. F. Ross

The Lovelock gravity is a fascinating extension of general relativity, whose action consists of the dimensionally extended Euler densities. Compared to other higher order derivative gravity theories, the Lovelock gravity is attractive since…

High Energy Physics - Theory · Physics 2007-05-23 Rong-Gen Cai , Nobuyoshi Ohta

The Lovelock gravity consists of the dimensionally extended Euler densities. The geometry and horizon structure of black hole solutions could be quite complicated in this gravity, however, we find that some thermodynamic quantities of the…

High Energy Physics - Theory · Physics 2007-05-23 Rong-Gen Cai

We discuss a particular higher order gravity theory, Lovelock theory, that generalises in higher dimensions, general relativity. After briefly motivating modifications of gravity, we will introduce the theory in question and we will argue…

General Relativity and Quantum Cosmology · Physics 2009-01-28 Christos Charmousis

We study the spherically symmetric collapse of a cloud of dust in VCDM, a class of gravitational theories with two local physical degrees of freedom. We find that the collapse corresponds to a particular foliation of the Oppenheimer-Snyder…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Antonio De Felice , Kei-ichi Maeda , Shinji Mukohyama , Masroor C. Pookkillath

We study some universal features of gravity in higher dimensions and by universal we mean a feature that remains true in all dimensions $\geq4$. They include: (a) the gravitational dynamics always follows from the Bianchi derivative of a…

General Relativity and Quantum Cosmology · Physics 2011-05-06 Naresh Dadhich
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