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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

Recently it has been proposed that the Gauss-Bonnet coupling parameter of Lovelock gravity may suitably be rescaled in order to admit physically viable models of celestial phenomena such that higher curvature effects are active in standard…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Sudan Hansraj , Ayan Banerjee , Lushen Moodly , M. K. Jasim

In the current review, we provide a summary of the recent progress made in the cosmological aspect of extra-dimensional Lovelock gravity. Our review covers a wide variety of particular model/matter source combinations:…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Sergey Pavluchenko

For static fluid interiors of compact objects in pure Lovelock gravity (involving ony one $N$th order term in the equation) we establish similarity in solutions for the critical odd and even $d=2N+1, 2N+2$ dimensions. It turns out that in…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Naresh Dadhich , Sudan Hansraj , Brian Chilambwe

We construct an exact anisotropic star model with a linear barotropic equation of state and with Finch-Skea potential within the framework of pure Lovelock gravity. A comparison with the corresponding Einstein model in a suitable limit is…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Ksh. Newton Singh , Megandhren Govender , Sudan Hansraj , Farook Rahaman

In this work we show that Einstein gravity in four dimensions can be consistently obtained from the compactification of a generic higher curvature Lovelock theory in dimension $D=4+p$, being $p\geq1$. The compactification is performed on a…

High Energy Physics - Theory · Physics 2021-08-18 Fabrizio Canfora , Adolfo Cisterna , Sebastian Fuenzalida , Carla Henriquez-Baez , Julio Oliva

We consider gravity theories in $4+N$ dimensions which are governed by the Lagrangian written as an extended Gauss-Bonnet density. We can find a naturally generalized Einstein gravity where the maximal symmetric compactification leads to…

General Relativity and Quantum Cosmology · Physics 2012-05-03 Kiyoshi Shiraishi

Since the derivation of a well-defined $D\rightarrow 4$ limit for 4 dimensional Einstein Gauss-Bonnet (4DEGB) gravity coupled to a scalar field, there has been interest in testing it as an alternative to Einstein's general theory of…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Michael Gammon , Robert B. Mann , Sarah Rourke

In this paper the dynamic compactification in Lovelock gravity with a cubic term is studied. The ansatz will be of space-time where the three dimensional space and the extra dimensions are constant curvature manifolds with independent scale…

General Relativity and Quantum Cosmology · Physics 2018-07-16 Dmitry Chirkov , Alex Giacomini , Alexey Toporensky

The standard argument for the uniqueness of the Einstein field equation is based on Lovelock's Theorem, the relevant statement of which is restricted to four dimensions. I prove a theorem similar to Lovelock's, with a physically modified…

General Relativity and Quantum Cosmology · Physics 2016-01-13 Erik Curiel

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 obtain the Buchdahl compactness limit for a pure Lovelock static fluid star and verify that the limit following from the uniform density Schwarzschild's interior solution, which is universal irrespective of the gravitational theory…

General Relativity and Quantum Cosmology · Physics 2017-06-06 Naresh Dadhich , Sumanta Chakraborty

We develop a theoretical framework to study slowly rotating compact stars in a rather general class of alternative theories of gravity, with the ultimate goal of investigating constraints on alternative theories from electromagnetic and…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Paolo Pani , Emanuele Berti , Vitor Cardoso , Jocelyn Read

We study the properties of compact objects in a particular 4D Horndeski theory originating from higher dimensional Einstein-Gauss-Bonnet gravity. Remarkably, an exact vacuum solution is known. This compact object differs from general…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Christos Charmousis , Antoine Lehébel , Evangelos Smyrniotis , Nikolaos Stergioulas

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 develop a static charged stellar model in $f(R,T)$ gravity where the modification is assumed to be linear in $T$ which is the trace of the energy momentum tensor. The exterior spacetime of the charged object is described by the…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Soumik Bhattacharya , Ranjan Sharma , Sunil D. Maharaj

The Buchdahl limit for static spherically symmetric isotropic stars is generalised to the case of five dimensional Gauss-Bonnet gravity. Our result depends on the sign of the Gauss-Bonnet coupling constant $\alpha$. When $\alpha>0$, we…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Matthew Wright

We generalise the Buchdahl-Bondi limit for the case of static, spherically symmetric, relativistic compact stars immersed in Schwarzschild vacuum in f(R)-theory of gravity, subject to very generic regularity, thermodynamic stability and…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki

We study the impact of non-local modifications of General Relativity on stellar structure. In particular, assuming an analytic distortion function and specific equations of state, we made use of remnant stars to put qualitative constraints…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Grigoris Panotopoulos , Javier Rubio , Ilídio Lopes

We systematically examine the compactness of neutron stars as Tolman VII solutions in scalar-tensor theory of gravity. As a result, when the coupling constant is confined to values provided by astronomical observations we show that the…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Hajime Sotani , Kostas D. Kokkotas
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