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Related papers: D=4 Einstein gravity from higher D CS and BI gravi…

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We obtain a dynamical formulation of two-dimensional gravity from a non-Einsteinian phase in higher dimensions $(D=3+2n)$. The formalism is associated with (at least) one extra dimension of vanishing proper length, thus being inequivalent…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Suvikranth Gera , Sandipan Sengupta

A family of diffeomorphism-invariant Seiberg--Witten deformations of gravity is constructed. In a first step Seiberg--Witten maps for an SO(1,3) gauge symmetry are obtained for constant deformation parameters. This includes maps for the…

High Energy Physics - Theory · Physics 2010-05-28 S. Marculescu , F. Ruiz Ruiz

The topological aspects of Einstein gravity suggest that topological invariance could be a more profound principle in understanding quantum gravity. In this work, we explore a topological supergravity action that initially describes a…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Tianyao Fang , Zheng-Cheng Gu

n-DBI gravity is a gravitational theory introduced in arXiv:1109.1468 [hep-th], motivated by Dirac-Born-Infeld type conformal scalar theory and designed to yield non-eternal inflation spontaneously. It contains a foliation structure…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Carlos Herdeiro , Shinji Hirano , Yuki Sato

Cylindrically reduced Einstein gravity can be regarded as an $SL(2,R)/SO(2)$ sigma model coupled to 2D dilaton gravity. By using the corresponding 2D diffeomorphism algebra of constraints and the asymptotic behaviour of the Ernst equation…

General Relativity and Quantum Cosmology · Physics 2009-01-16 J. Cruz , A. Mikovic , J. Navarro-Salas

The most general gravity Lagrangian in four dimensions contains three topological densities, namely Nieh-Yan, Pontryagin and Euler, in addition to the Hilbert-Palatini term. We set up a Hamiltonian formulation based on this Lagrangian. The…

General Relativity and Quantum Cosmology · Physics 2012-06-01 Sandipan Sengupta

In Einstein gravity there is a simple procedure to build D-dimensional spacetimes starting from (D-1)-dimensional ones, by stacking any (D-1)-dimensional Ricci-flat metric into the extra-dimension. We analyze this procedure in the context…

High Energy Physics - Theory · Physics 2014-11-18 Carlos Barcelo , Roy Maartens , Carlos F. Sopuerta , Fermin Viniegra

It is shown that a localized four-dimensional Einstein term, induced by quantum corrections, modifies significantly the law of gravity in a Randall-Sundrum brane world. In particular, the short-distance behavior of gravity changes from…

High Energy Physics - Theory · Physics 2010-02-03 E. Kiritsis , N. Tetradis , T. N. Tomaras

By rescaling the Gauss-Bonnet (GB) coupling constant $\alpha \rightarrow \alpha/(D-4)$ and considering the $D \rightarrow 4$ limit, the GB gravity gives rise to nontrivial modification of general relativity in four dimensions. In this work,…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Shou-Long Li , Puxun Wu , Hongwei Yu

We propose a new group-theoretical (Chern-Simons) formulation for the bi-metric theory of gravity in (2+1)-dimensional spacetime which describe two interacting massless spin-2 fields. Our model has been formulated in terms of two dreibeins…

High Energy Physics - Theory · Physics 2018-04-25 S. Hoseinzadeh , A. Rezaei-Aghdam

We construct the N=1 three-dimensional supergravity theory with cosmological, Einstein-Hilbert, Lorentz Chern-Simons, and general curvature squared terms. We determine the general supersymmetric configuration, and find a family of…

High Energy Physics - Theory · Physics 2010-01-06 Roel Andringa , Eric A. Bergshoeff , Mees de Roo , Olaf Hohm , Ergin Sezgin , Paul K. Townsend

We investigate the possibility to recover a four-dimensional (4D) general theory of relativity, as embedded in a 5D spacetime where gravity is governed by a five-dimensional (5D) Brans-Dicke (BD) theory of gravity. Employing the…

General Relativity and Quantum Cosmology · Physics 2009-03-02 L. M. Reyes , Jose Edgar Madriz Aguilar

This work shows the existence of a d>2 dimensional covariant "Beltrami vielbein" that generalizes the d=2 situation. Its definition relies on a sub-foliation \Sigma^{ADM}_{d-1}=\Sigma_{d-3}\times\Sigma_2 of the Arnowit--Deser--Misner leaves…

High Energy Physics - Theory · Physics 2021-12-10 Laurent Baulieu

We perform a generalised Scherk-Schwarz reduction of the effective action of the heterotic string on T^6 to obtain a massive N=4 supergravity theory in four dimensions. The local symmetry-group of the resulting d=4 theory includes a…

High Energy Physics - Theory · Physics 2009-10-30 E. Bergshoeff , M. de Roo , E. Eyras

The five dimensional Einstein-Gauss-Bonnet gravity with a negative cosmological constant becomes, for a special value of the Gauss-Bonnet coupling constant, a Chern-Simons (CS) theory of gravity. In this work we discuss the properties of…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Yves Brihaye , Eugen Radu

We present the generalisation to (3+1) dimensions of a quantum deformation of the (2+1) (Anti)-de Sitter and Poincar\'e Lie algebras that is compatible with the conditions imposed by the Chern-Simons formulation of (2+1) gravity. Since such…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Angel Ballesteros , Francisco J. Herranz , Pedro Naranjo

In this paper we present the results of our calculations of the Einsteinian strengths S_E(d) and numbers dynamical degrees of freedom N_{DF}(d) for alternative gravity theories in d >= 4 dimensions. In the first part we consider the numbers…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Garecki

A direct relation between two types of topological field theories, Chern-Simons theory and BF theory, is presented by using ``Generalized Differential Calculus'', which extends an ordinary p-form to an ordered pair of p and (p+1)-form. We…

High Energy Physics - Theory · Physics 2009-11-07 Han-Ying Guo , Yi Ling , Roh-Suan Tung , Yuan-Zhong Zhang

We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear $\sigma$-model with cosmological constant. The $\sigma$-model can be perceived as exterior configuration of a spontaneously-broken $SO(D-1)$ global…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Ilham Prasetyo , Handhika S. Ramadhan

We present a detailed account of the isomonodromic quantization of dimensionally reduced Einstein gravity with two commuting Killing vectors. This theory constitutes an integrable ``midi-superspace" version of quantum gravity with…

High Energy Physics - Theory · Physics 2009-10-30 D. Korotkin , H. Nicolai