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We discuss renormalizability of a recently established, massive gravity theory with particular higher derivative terms in three space-time dimensions. It is shown that this massive gravity is certainly renormalizable as well as unitary, so…

High Energy Physics - Theory · Physics 2009-05-29 Ichiro Oda

The theory of macroscopic gravity provides a formalism to average the Einstein field equations from small scales to largest scales in space-time. It is well known that averaging is an operation that does not commute with calculating the…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Anish Agashe , Mustapha Ishak

We derive Einstein's equations from a linear theory in flat space-time using free-field gauge invariance and universal coupling. The gravitational potential can be either covariant or contravariant and of almost any density weight. We adapt…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Brian Pitts , W. C. Schieve

We extend topologically massive electrodynamics, both by adding a higher derivative action to cast the entire three-term model in Chern-Simons (CS) form, and by embedding it in an AdS background. It can then be written as the sum of two CS…

High Energy Physics - Theory · Physics 2009-11-11 S. Deser

Three dimensional Euclidean pure gravity with a negative cosmological constant can be formulated in terms of the Chern-Simons theory, classically. This theory can be written in a supersymmetric way by introducing auxiliary gauginos and…

High Energy Physics - Theory · Physics 2015-10-21 Norihiro Iizuka , Akinori Tanaka , Seiji Terashima

We present the gravity dual to a class of three-dimensional N=2 supersymmetric gauge theories on a biaxially squashed three-sphere, with a non-trivial background gauge field. This is described by a 1/2 BPS Euclidean solution of…

High Energy Physics - Theory · Physics 2015-06-03 Dario Martelli , James Sparks

In this paper we consider a generalization of zwei-dreibein gravity with a chern-Simons term associated to a constraint term which fixed the torsion. We count the local degrees of freedom of this model using Hamiltonian analysis and show…

High Energy Physics - Theory · Physics 2015-09-30 M. R. Setare , H. Adami

We obtain a non-relativistic chiral massive higher-spin gravity in a deformed $AdS_3$ spacetime by applying a Lifshitz deformation and subsequent null reduction to chiral massless higher-spin gravity in $AdS_4$. Intriguingly, the vertices…

High Energy Physics - Theory · Physics 2025-11-27 Arpita Mitra , Debangshu Mukherjee , Tung Tran

A multidimensional gravitational model on the manifold $M = M_0 \times \prod_{i=1}^{n} M_i$, where M_i are Einstein spaces ($i \geq 1$), is studied. For $N_0 = dim M_0 > 2$ the $\sigma$ model representation is considered and it is shown…

High Energy Physics - Theory · Physics 2007-05-23 V. D. Ivashchuk , V. N. Melnikov

These lectures are intended as a broad introduction to Chern Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant action -in the sense of fiber bundles- in more than three…

High Energy Physics - Theory · Physics 2007-05-23 Jorge Zanelli

We revisit the four-dimensional theory of gravity that arises from string theory with higher-derivative corrections. By compactifying and truncating the ten-dimensional effective action of heterotic string theory at first order in…

High Energy Physics - Theory · Physics 2022-02-23 Pablo A. Cano , Alejandro Ruipérez

Chern-Simons models for gravity are interesting because they provide with a truly gauge-invariant action principle in the fiber-bundle sense. So far, their main drawback has largely been the perceived remoteness from standard General…

High Energy Physics - Theory · Physics 2014-11-18 Fernando Izaurieta , Paul Minning , Alfredo Pérez , Eduardo Rodríguez , Patricio Salgado

Completing earlier work on three dimensional (3D) N=1 supergravity with curvature-squared terms, we construct the general supergravity extension of cosmological massive gravity theories. We expand about supersymmetric anti-de Sitter vacua,…

High Energy Physics - Theory · Physics 2010-12-17 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Ergin Sezgin , Paul K. Townsend

We construct higher-dimensional generalizations of the Eguchi-Hanson gravitational instanton in the presence of higher-curvature deformations of general relativity. These spaces are solutions to Einstein gravity supplemented with the…

High Energy Physics - Theory · Physics 2022-11-03 Cristóbal Corral , Daniel Flores-Alfonso , Gastón Giribet , Julio Oliva

We provide a metric-like formulation of the spin-3 gravity in three dimensions. It is shown that the Chern-Simons formulation of the spin-3 gravity can be reformulated as a Einstein-Cartan-Sciama-Kibble theory coupled with the higher-spin…

High Energy Physics - Theory · Physics 2015-06-22 Zhi-Qiang Guo

We obtain a general five dimensional (5D) quasispherical solutions of irrotational dust in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms. These solutions are generalization, to Einstein-Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Sushant G. Ghosh , Sanjay Jhingan

A non-geometrical (but with curved space) theory of gravitation characterized by a vector field representing gravitational matter and a metric tensor presenting space is presented. It is derived from a more general theory of matter and…

General Relativity and Quantum Cosmology · Physics 2008-03-13 Boris Hikin

The Kerr-Schild-Kundt (KSK) metrics are known to be one of the universal metrics in general relativity, which means that they solve the vacuum field equations of any gravity theory constructed from the curvature tensor and its higher-order…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Metin Gurses , Yaghoub Heydarzade , Cetin Senturk

We consider the equation of motion in the gravity sector that arises from the non-linear realisation of the semi-direct product of E11 and its first fundamental representation, denoted by l1, in four dimensions. This equation is first order…

High Energy Physics - Theory · Physics 2014-11-05 Peter West

In Einstein gravity, gravitational potential goes as $1/r^{d-3}$ in $d$ non-compactified spacetime dimensions, which assumes the familiar $1/r$ form in four dimensions. On the other hand, it goes as $1/r^{\alpha}$, with $\alpha=(d-2m-1)/m$,…

General Relativity and Quantum Cosmology · Physics 2018-02-02 Sumanta Chakraborty , Naresh Dadhich
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