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Infinite derivative theory of gravity is a modification to the general theory of relativity. Such modification maintains the massless graviton as the only true physical degree of freedom and avoids ghosts. Moreover, this class of modified…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Ali Teimouri

The Born-Infeld determinantal gravity has been recently proposed as a way to smooth the Big Bang singularity. This theory is formulated on the Weitzenbock space-time and the teleparallel representation is used instead of the standard…

General Relativity and Quantum Cosmology · Physics 2014-12-24 Mariam Bouhmadi-Lopez , Che-Yu Chen , Pisin Chen

A topological version of four-dimensional (Euclidean) Einstein gravity which we propose regards anti-self-dual 2-forms and an anti-self-dual part of the frame connections as fundamental fields. The theory describes the moduli spaces of…

High Energy Physics - Theory · Physics 2011-09-09 Mitsuko Abe , A. Nakamichi , T. Ueno

In this paper we will consider the most general quadratic curvature action with infinitely many covariant derivatives of massless gravity in three spacetime dimensions. The action is parity invariant and torsion-free and contains the same…

High Energy Physics - Theory · Physics 2020-05-15 Anupam Mazumdar , Georg Stettinger

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

Recently, an extension of the topologically massive gravity (TMG) in $2+1$ dimensions, dubbed as minimal massive gravity (MMG), was found which is free of the bulk-boundary unitarity clash that inflicts the former theory and all the other…

High Energy Physics - Theory · Physics 2016-02-29 Emel Altas , Bayram Tekin

A discussion of the field content of quadratic higher-derivative gravitation is presented, together with a new example of a massless spin-two field consistently coupled to gravity. The full quadratic gravity theory is shown to be equivalent…

High Energy Physics - Theory · Physics 2011-07-19 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

Lorentz-invariant massive gravity is usually associated with a strong coupling scale $\Lambda_3$. By including non-trivial effects from the Stueckelberg modes, we show that about these vacua, one can push the strong coupling scale to higher…

High Energy Physics - Theory · Physics 2016-05-11 Claudia de Rham , Andrew J. Tolley , Shuang-Yong Zhou

We perform a systematic study of various versions of massive gravity with and without violation of Lorentz symmetry in arbitrary dimension. These theories are well known to possess very unusual properties, unfamiliar from studies of gauge…

High Energy Physics - Phenomenology · Physics 2014-11-20 Andrei Mironov , Sergey Mironov , Alexei Morozov , Andrey Morozov

We discuss gravity-like formulations of massive Abelian and non-Abelian gauge field theories in four space-time dimensions with particular emphasis on the issue of gauge invariance. Alternative descriptions in terms of antisymmetric tensor…

High Energy Physics - Theory · Physics 2007-05-23 Dennis D. Dietrich

The main obstacle in attempts to construct a consistent quantum gravity is the absence of independent flat time. This can in principle be cured by going out to higher dimensions. The modern paradigm assumes that the fundamental theory of…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Smilga

We perform the Hamiltonian constraint analysis for a wide class of gravity theories that are invariant under spatial diffeomorphism. With very general setup, we show that different from the general relativity, the primary and secondary…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Xian Gao

Quasi-topological terms in gravity can be viewed as those that give no contribution to the equations of motion for a special subclass of metric ans\"atze. They therefore play no r\^ole in constructing these solutions, but can affect the…

High Energy Physics - Theory · Physics 2018-04-04 Yue-Zhou Li , Hai-Shan Liu , H. Lu

In this thesis massive higher derivative gravity theories are analyzed in some detail. One-particle scattering amplitude between two covariantly conserved sources mediated by a graviton exchange is found at tree-level in $D$ dimensional…

General Relativity and Quantum Cosmology · Physics 2012-02-01 Ibrahim Gullu

We hereby present a class of multidimensional higher derivative theories of gravity that realizes an ultraviolet completion of Einstein general relativity. This class is marked by a "non-polynomal" entire function (form factor), which…

High Energy Physics - Theory · Physics 2013-05-30 Leonardo Modesto

We construct an n-dimensional Born-Infeld type gravity theory that has the same properties as Einstein's gravity in terms of the vacuum and particle content: Namely, the theory has a unique viable vacuum (maximally symmetric solution) and a…

High Energy Physics - Theory · Physics 2015-11-11 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

We present a new point of view on the quantization of the massive gravitational field, namely we use exclusively the quantum framework of the second quantization. The Hilbert space of the many-gravitons system is a Fock space ${\cal…

High Energy Physics - Theory · Physics 2009-11-10 Dan Radu Grigore , Gunter Scharf

We present the first example of a unitary theory of Lorentz-invariant massive gravity, with all degrees of freedom propagating on a strictly homogeneous and isotropic, self-accelerating de Sitter background. The theory is a simple extension…

High Energy Physics - Theory · Physics 2014-01-03 Antonio De Felice , Shinji Mukohyama

Inspired by previous work in 2+1 dimensional quantum gravity, which found evidence for a discretization of time in the quantum theory, we reexamine the issue for the case of pure Lorentzian gravity with vanishing cosmological constant and…

General Relativity and Quantum Cosmology · Physics 2009-09-28 T. G. Budd , R. Loll

A theory with the action combining the Einstein--Hilbert term and graviton mass terms violating Lorentz invariance is considered at linearized level about Minkowskian background. It is shown that with one of the masses set equal to zero,…

High Energy Physics - Theory · Physics 2007-05-23 V. Rubakov