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We present a three dimensional non-relativistic model of gravity that is invariant under the central extension of the symmetry group that leaves the recently constructed Newtonian gravity action invariant. We show that the model arises from…

High Energy Physics - Theory · Physics 2019-08-22 Nese Ozdemir , Mehmet Ozkan , Orhan Tunca , Utku Zorba

The usual Chern-Simons extension of Einstein gravity theory consists in adding a squared Riemann contribution to the Hilbert Lagrangian, which means that a square-curvature term is added to the linear-curvature leading term governing the…

General Physics · Physics 2021-03-30 Luca Fabbri

In this work we develop a geometrical unification theory for gravity and the electro-weak model in a Kaluza-Klein approach; in particular, from the curvature dimensional reduction Einstein-Yang-Mills action is obtained. We consider two…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Francesco Cianfrani , Giovanni Montani

Kaluza-Klein gravity is revisted, with renewed interest, in a type IIB string theory on $S^1\times K3$. The irreducible curvature tensors are worked out in the, T-dual, emergent gravity in 4D to yield a non-linear U(1) gauge theory.…

High Energy Physics - Theory · Physics 2010-03-03 Supriya Kar , K. Priyabrat Pandey , Abhishek K. Singh , Sunita Singh

We explore cosmology with a bounce in Gauss-Bonnet gravity where the Gauss-Bonnet invariant couples to a dynamical scalar field. In particular, the potential and and Gauss-Bonnet coupling function of the scalar field are reconstructed so…

High Energy Physics - Theory · Physics 2015-06-23 Kazuharu Bamba , Andrey N. Makarenko , Alexandr N. Myagky , Sergei D. Odintsov

It is well known that three-dimensional Einstein's gravity without matter is topological, i.e. it does not have local propagating degrees of freedom. The main result of this work is to show that dynamics in the gravitational sector can be…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Giandomenico Palumbo

We develop in a companion article the kinematics of three-dimensional loop quantum gravity in Euclidean signature and with a negative cosmological constant, focusing in particular on the spinorial representation which is well-known at zero…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Valentin Bonzom , Maïté Dupuis , Qiaoyin Pan

We construct a generalized massive gravity by combining quadratic curvature gravity with the Chern-Simons term in four dimensions. This may be a candidate for the parity-odd tricritical gravity theory. Considering the AdS$_4$ vacuum…

High Energy Physics - Theory · Physics 2015-06-05 Taeyoon Moon , Yun Soo Myung

We study conformal theories of gravity, i.e. those whose action is invariant under the local transformation g_{\mu\nu} -> \omega^2 (x) g_{\mu\nu}. As is well known, in order to obtain Einstein gravity in 4D it is necessary to introduce a…

High Energy Physics - Theory · Physics 2009-11-11 Ignacio Navarro , Karel Van Acoleyen

The properties of the effective sigma-model for D-dimensional Einstein gravity based on multidimensional geometries is analyzed. Besides pure geometry, additional minimally coupled scalars and (p+2)-forms are considered which yield an…

General Relativity and Quantum Cosmology · Physics 2014-11-17 M. Rainer

We formulate a topological theory in six dimensions with gauge group SO(3,3) which reduces to gravity on a four dimensional defect if suitable boundary conditions are chosen. In such a framework we implement the reflection automorphism of…

High Energy Physics - Theory · Physics 2009-10-31 G. Bonelli , A. M. Boyarsky

In this work, we derive an upper bound on energetic quantities, namely vacuum energy and free energy, for static solutions of Einstein-Scalar theory in four dimensional asymptotically locally Anti-de Sitter(AlAdS) spacetime with a…

High Energy Physics - Theory · Physics 2020-02-28 Krai Cheamsawat

A deformation of Einstein Gravity is constructed based on gauging the noncommutative ISO(3,1) group using the Seiberg-Witten map. The transformation of the star product under diffeomorphism is given, and the action is determined to second…

High Energy Physics - Theory · Physics 2008-11-26 Ali H. Chamseddine

The Hamiltonian formalism of Einstein--Cartan (EC) gravity is a starting point for canonical quantum gravity. The existing formalisms are at most Lorentz covariant, or diffeomorphism covariant. Here we analyze the Hamiltonian EC gravity in…

General Relativity and Quantum Cosmology · Physics 2019-03-26 Jia-An Lu

We present a formulation of gravity in terms of a theory based on complex SU(2) gauge fields with a general coordinate invariant action functional quadratic in the field strength. Self-duality or anti-self-duality of the field strength…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Romesh K. Kaul

Trace-free Einstein gravity is a prominent alternative to general relativity, which has two versions: one in which the energy-momentum conservation is assumed a priori and another in which it is not. In the first version, the cosmological…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Merced Montesinos , Diego Gonzalez

We show that eleven dimensional supergravity in Euclidean signature admits an exact classical solution with isometry corresponding to a three dimensional scale invariant field theory without conformal invariance. We also construct the…

High Energy Physics - Theory · Physics 2017-02-22 Yu Nakayama

We investigate infrared dynamics of four-dimensional Einstein gravity in de Sitter space. We set up a general framework to investigate dynamical scaling relations in quantum/classical gravitational theories. The conformal mode dependence of…

High Energy Physics - Theory · Physics 2020-02-25 Hiroyuki Kitamoto , Yoshihisa Kitazawa , Takahiko Matsubara

In this letter is shown that it is possible to obtain scalar hypersurfaces in 5D N=2 SUGRA where the allowed regions with positive definite scalar metric have a non-trivial topology. This situation may aid in the construction of domain wall…

High Energy Physics - Theory · Physics 2009-10-31 Malcolm Fairbairn

Spherical reduction of generic four-dimensional theories is revisited. Three different notions of "spherical symmetry" are defined. The following sectors are investigated: Einstein-Cartan theory, spinors, (non-)abelian gauge fields and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Herbert Balasin , Christian G. Boehmer , Daniel Grumiller
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