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We describe the dimensional reduction of massive and partially massless spin-2 fields on general Einstein direct product manifolds. As with massless fields, the higher-dimensional gauge symmetry of the partially massless field displays…

High Energy Physics - Theory · Physics 2019-09-06 James Bonifacio , Kurt Hinterbichler

We explore the space of static solutions of the recently discovered three-dimensional `New Massive Gravity' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant…

High Energy Physics - Theory · Physics 2009-07-09 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

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

The linearized massive gravity in three dimensions, over any maximally symmetric background, is known to be presented in a self-dual form as a first order equation which encodes not only the massive Klein-Gordon type field equation but also…

High Energy Physics - Theory · Physics 2013-08-02 Kevin Morand , Sergey N. Solodukhin

We develop the formalism for canonical reduction of $(1+1)$--dimensional gravity coupled with a set of point particles by eliminating constraints and imposing coordinate conditions. The formalism itself is quite analogous to the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 T. Ohta , R. B. Mann

Many theories of quantum gravity live in higher dimensions, and their reduction to four dimensions via mechanisms such as Kaluza-Klein compactification or brane world models have associated problems. We propose a novel mechanism of…

General Relativity and Quantum Cosmology · Physics 2018-07-26 Saurya Das , Mir Faizal

By means of a triple master action we deduce here a linearized version of the "New Massive Gravity" (NMG) in arbitrary dimensions. The theory contains a 4th-order and a 2nd-order term in derivatives. The 4th-order term is invariant under a…

High Energy Physics - Theory · Physics 2013-04-17 D. Dalmazi , R. C. Santos

The Kaluza-Klein compactification in the limit of large number of extra dimensions is studied. Starting point is the Einstein-Hilbert action plus cosmological constant in 4+D dimensions. It is shown that in the large D limit the effective…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Fabrizio Canfora , Alex Giacomini , Alfonso R. Zerwekh

There are three self-dual models of massive particles of helicity +2 (or -2) in $D=2+1$. Each model is of first, second, and third-order in derivatives. Here we derive a new self-dual model of fourth-order, $\cL {SD}^{(4)}$, which follows…

High Energy Physics - Theory · Physics 2009-10-16 D. Dalmazi , E. L. Mendonca

Here we start from a dual version of Vasiliev's first order action for massless spin-2 particles (linearized first order Einstein-Hilbert) and derive, via Kaluza-Klein dimensional reduction from $D+1$ to $D$ dimensions, a set of dual…

High Energy Physics - Theory · Physics 2020-08-26 D. Dalmazi , A. L. R. dos Santos

We study the phase space structure and the quantization of a pointlike particle in 2+1 dimensional gravity. By adding boundary terms to the first order Einstein Hilbert action, and removing all redundant gauge degrees of freedom, we arrive…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Hans-Juergen Matschull , Max Welling

We show that the ghost-free models of massive gravity and their multi-graviton extensions follow from considering higher dimensional General Relativity in Einstein-Cartan form on a discrete extra dimension, according to the Dimensional…

High Energy Physics - Theory · Physics 2015-06-16 Claudia de Rham , Andrew Matas , Andrew J. Tolley

We reduce the Taub-NUT metric dimensionally to three spatial dimensions by treating time as an extra curled dimension, and end up with the 3-dimensional Einstein field equations plus a corresponding Maxwell type equations for a…

High Energy Physics - Theory · Physics 2026-01-29 Mehran Z-Abyaneh , Mehrdad Farhoudi

We develop in detail the general framework of consistent Kaluza-Klein truncations from D=11 and type II supergravities to gauged maximal supergravities in two dimensions. In particular, we unveil the complete bosonic dynamics of all gauged…

High Energy Physics - Theory · Physics 2024-01-17 Guillaume Bossard , Franz Ciceri , Gianluca Inverso , Axel Kleinschmidt

Recently by us was proposed the model where Einstein's equation on the brane was connected with Maxwell's multi-dimensional equations in pseudo-Euclidean space. Based on this idea unification of 4-dimensional gravity and electromagnetism in…

High Energy Physics - Theory · Physics 2007-05-23 Merab Gogberashvili

Here we perform the Kaluza-Klein dimensional reduction from $D+1$ to $D$ dimensions of massless Lagrangians described by a symmetric rank-2 tensor and invariant under transverse differmorphisms (TDiff). They include the linearized…

High Energy Physics - Theory · Physics 2021-06-30 D. Dalmazi , R. R. Lino dos Santos

We consider dimensional reduction of the lightlike holography of the covariant entropy bound from D+1 dimensional geometry of M X S to the D dimensional geometry M. With a warping factor, the local Bekenstein bound in D+1 dimensions leads…

High Energy Physics - Theory · Physics 2010-02-03 Dongsu Bak , Ho-Ung Yee

New solutions are derived in the $2+1$ gravity which is coupled to $|{\cal F}|^k$ type non-linear electric field in Maxwell Power theory with dilaton field. We obtain consistent solutions in general $k$ case. We also investigate the…

General Relativity and Quantum Cosmology · Physics 2015-01-28 Masashi Kuniyasu

We study four-dimensional gravity theories that are rendered renormalisable by the inclusion of curvature-squared terms to the usual Einstein action with cosmological constant. By choosing the parameters appropriately, the massive scalar…

High Energy Physics - Theory · Physics 2011-05-23 H. Lu , C. N. Pope

A solution for the Einstein gravity coupled with non linear electrodynamics is introduced in 2+1 dimensions. Especially, in the case with a non-vanishing cosmological constant, we obtain a novel black hole solution. To find fundamental…

General Relativity and Quantum Cosmology · Physics 2013-12-11 M. Kuniyasu
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