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We consider the Einstein static and the de Sitter universe solutions and examine their instabilities in a subclass of quadratic modified theories for gravity. This modification proposed by Nash is an attempt to generalize general…

General Physics · Physics 2021-04-01 Mudhahir Al Ajmi

A new Lorentz gauge gravity model with R^2-type Lagrangian is proposed. In the absence of classical torsion the model admits a topological phase with an arbitrary metric. We analyze the equations of motion in constant curvature space-time…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Y. M. Cho , D. G. Pak , B. S. Park

We profit by a recent paper of Visser claiming that Rastall gravity is equivalent to Einstein gravity to compare the two gravitational theories in a general way. Our conclusions are different from Visser's ones. We indeed argue that these…

General Relativity and Quantum Cosmology · Physics 2018-01-16 F. Darabi , H. Moradpour , I. Licata , Y. Heydarzade , C. Corda

The Covariant Canonical Gauge theory of Gravity is generalized by including at the Lagrangian level all possible quadratic curvature invariants. In this approach, the covariant Hamiltonian principle and the canonical transformation…

General Relativity and Quantum Cosmology · Physics 2018-12-05 David Benisty , Eduardo I. Guendelman , David Vasak , Jurgen Struckmeier , Horst Stoecker

Recent progress in the understanding of gravity on noncommutative spaces is discussed. A gravity theory naturally emerges from matrix models of noncommutative gauge theory. The effective metric depends on the dynamical Poisson structure,…

High Energy Physics - Theory · Physics 2008-11-26 Harold Steinacker

Einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric CFT in three dimensions, analogous to the one defined by Quasi-topological gravity in four. The theory admits explicit non-hairy AdS$_4$ black holes and…

High Energy Physics - Theory · Physics 2018-06-18 Pablo Bueno , Pablo A. Cano , Alejandro Ruiperez

Fully covariant wave equations predict the existence of a class of inertial-gravitational effects that can be tested experimentally. In these equations inertia and gravity appear as external classical fields, but, by conforming to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Papini

In three dimensions, there exist modifications of Einstein's gravity akin to the topologically massive gravity that describe massive gravitons about maximally symmetric backgrounds. These theories are built on the three-dimensional version…

High Energy Physics - Theory · Physics 2018-11-20 Gokhan Alkac , Mustafa Tek , Bayram Tekin

We consider the large-$D$ limit of Einstein gravity. It is observed that a consistent leading large-$D$ graph limit exists, and that it is built up by a subclass of planar diagrams. The graphs in the effective field theory extension of…

High Energy Physics - Theory · Physics 2010-04-05 N. E. J. Bjerrum-Bohr

We study the condition that the theory is unitary and stable in three-dimensional gravity with most general quadratic curvature, Lorentz-Chern-Simons and cosmological terms. We provide the complete classification of the unitary theories…

High Energy Physics - Theory · Physics 2015-05-30 Nobuyoshi Ohta

The starting point of this work is the original Einstein action, sometimes called the Gamma squared action. Continuing from our previous results, we study various modified theories of gravity following the Palatini approach. The metric and…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Christian G. Boehmer , Erik Jensko

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories which include…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Thomas P. Sotiriou , Valerio Faraoni

The confrontation between Einstein's gravitation theory and experimental results, notably binary pulsar data, is summarized and its significance discussed. Experiment and theory agree at the 10^{-3} level. All the basic structures of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour

We give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

General Relativity and Quantum Cosmology · Physics 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

We review the foundations of Einstein's general theory of relativity, discuss recent progress in the tests of relativistic gravity, and present motivations for new generation of high-accuracy gravitational experiments. We discuss the…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Slava G. Turyshev

In this paper, we studied Einsteinian quartic gravity minimally coupled to electrodynamics in four dimensions. First, by variation action, we obtain the field equations, and by integration, we obtain a nonlinear third-order differential…

General Relativity and Quantum Cosmology · Physics 2022-11-30 S. N. Sajadi , Leila Shahkarami , Farid Charmchi , S. H. Hendi

A new direction to understand gravity has recently been explored by considering classical gravity to be a derived interaction from an underlying theory. This underlying theory would involve new degrees of freedom at a deeper level and it…

General Physics · Physics 2014-03-10 Yuan K. Ha

The light-cone Hamiltonians describing both pure Yang-Mills and N=4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity. We demonstrate how the Hamiltonians of both pure…

High Energy Physics - Theory · Physics 2020-02-25 Sudarshan Ananth , Lars Brink , Sucheta Majumdar , Mahendra Mali , Nabha Shah

We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only the massless graviton.…

High Energy Physics - Theory · Physics 2021-09-22 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

A $(3+1)$-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. {\bf 124}, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's…

General Relativity and Quantum Cosmology · Physics 2020-09-21 R. A. Konoplya , A. Zhidenko