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Within the framework of Einstein-Gauss-Bonnet theory in five-dimensional spacetime ($5D$ EGB), we derive the hydrostatic equilibrium equations and solve them numerically to obtain neutron stars for both isotropic and anisotropic…

General Relativity and Quantum Cosmology · Physics 2024-10-15 Juan M. Z. Pretel , Ayan Banerjee , Anirudh Pradhan

When the gravitational Chern-Simons term is reduced from 3 to 2 dimensions, the lower dimensional theory supports a symmetry breaking solution and an associated kink. Kinks in general relativity bear a close relation to flat space kinks,…

High Energy Physics - Theory · Physics 2009-11-10 G. Guralnik , A. Iorio , R. Jackiw , S. -Y. Pi

In this paper we study the consequences of the introduction of a flat boundary on a 4D covariant rank-2 gauge theory described by a linear combination of linearized gravity and covariant fracton theory. We show that this theory gives rise…

High Energy Physics - Theory · Physics 2023-07-14 Erica Bertolini , Nicola Maggiore , Giandomenico Palumbo

Boundaries in gauge field theories are known to be the locus of a wealth of interesting phenomena, as illustrated for example by the holographic principle or by the AdS/CFT and bulk-boundary correspondences. In particular, it has been…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Marc Geiller

We investigate a four-dimensional world, embedded into a five-dimensional spacetime, and find the five-dimensional Riemann tensor via generalisation of the Gauss (--Codacci) equations. We then derive the generalised equations of the…

High Energy Physics - Theory · Physics 2009-11-10 Rossen I. Ivanov , Emil M. Prodanov

We discuss the G\"{o}del-type solutions within the dynamical Chern-Simons modified gravity in four dimensions. Within our study, we show that in the vacuum case the causal solutions are possible which cannot take place within the…

High Energy Physics - Theory · Physics 2016-12-07 P. J. Porfirio , J. B. Fonseca-Neto , J. R. Nascimento , A. Yu. Petrov

Six-dimensional Einstein-Gauss-Bonnet gravity (with a linear Gauss-Bonnet term) is investigated. This theory is inspired by basic features of results coming from string and M-theory. Dynamical compactification is carried out and it is seen…

High Energy Physics - Theory · Physics 2008-11-26 E. Elizalde , A. N. Makarenko , V. V. Obukhov , K. E. Osetrin , A. E. Filippov

We extend the lattice gauge theory-type derivation of the Barrett-Crane spin foam model for quantum gravity to other choices of boundary conditions, resulting in different boundary terms, and re-analyze the gluing of 4-simplices in this…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daniele Oriti

In this article it is studied the 3-brane world in the context of five-dimensional Einstein-Chern-Simons gravity. We started by considering Israel's junction condition for AdS-Chern-Simons gravity. Using the S-expansion procedure, we mapped…

High Energy Physics - Theory · Physics 2022-10-04 F. Izaurieta , P. Salgado , R. Salgado

When 4-dimensional general relativity is extended by a 3-dimensional gravitational Chern-Simons term an apparent violation of diffeormorphism invariance is extinguished by the dynamical equations of motion for the modified theory. The…

General Relativity and Quantum Cosmology · Physics 2017-08-23 R. Jackiw

It is shown that the compactification a la Randall Sundrum of the so called, five dimensional Einstein Chern Simons action gravity leads to an action for a four dimensional scalar tensor gravity that includes a Gauss Bonnet term, which…

High Energy Physics - Theory · Physics 2023-08-09 L. Cardenas , V. C. Orozco , P. Salgado , D. Salgado , R. Salgado

We consider theories describing the dynamics of a four-dimensional metric, whose Lagrangian is diffeomorphism invariant and depends at most on second derivatives of the metric. Imposing degeneracy conditions we find a set of Lagrangians…

High Energy Physics - Theory · Physics 2018-03-15 Marco Crisostomi , Karim Noui , Christos Charmousis , David Langlois

We obtain the full 5D graviton propagator in the Randall-Sundrum model with the Gauss-Bonnet interaction. From the decomposition of the graviton propagator on the brane, we show that localization of gravity arises in the presence of the…

High Energy Physics - Theory · Physics 2009-10-31 Jihn E. Kim , Hyun Min Lee

We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the…

High Energy Physics - Theory · Physics 2023-05-17 Seolhwa Kim , Per Kraus , Richard M. Myers

Gibbons-Hawking-York (GHY) terms are typically neglected when performing dimensional reductions of gravitational theories. We consider the reduction of such terms for both two-derivative and four-derivative theories in general dimensions.…

High Energy Physics - Theory · Physics 2026-01-29 Robert J. Saskowski

We add a Gauss-Bonnet term to the Einstein-Hilbert action and study the recent proposal to solve the cosmological constant problem. We also consider the possibility of adding a dilaton potential to the action. In the absence of…

High Energy Physics - Theory · Physics 2009-10-31 Ian Low , A. Zee

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

We propose a gravitation theory in 4 dimensional space-time obtained by compacting to 4 dimensions the five dimensional topological Chern-Simons theory with the gauge group SO(1,5) or SO(2,4) -- the de Sitter or anti-de Sitter group of…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

We provide a necessary and sufficient condition for the consistency of the supertrace, through the existence of a certain ground state projector. We build this projector and check its properties to the first two orders in the number…

High Energy Physics - Theory · Physics 2016-03-03 Nicolas Boulanger , Per Sundell , Mauricio Valenzuela

The Chern-Simons-like gravitational action is evaluated explicitly in four dimensional space-time by radiative corrections at one-loop level. The calculation is performed in fermionic sector where the Dirac fermions interact with the…

High Energy Physics - Theory · Physics 2009-11-10 T. Mariz , J. R. Nascimento , E. Passos , R. F. Ribeiro