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We give a detailed discussion of the use of the (3+1) decomposition and of Bardeen's variables in massive gravity linearized over a Minkowski as well as over a de Sitter background. In Minkowski space the Bardeen "potential" \Phi, that in…

High Energy Physics - Theory · Physics 2015-06-12 Maud Jaccard , Michele Maggiore , Ermis Mitsou

The idea of "asymptotically free" gravity is implemented using a constrained mimetic scalar field. The effective gravitational constant is assumed to vanish at some limiting curvature. As a result singularities in contracting spatially flat…

High Energy Physics - Theory · Physics 2020-08-05 Ali H. Chamseddine , Viatcheslav Mukhanov , Tobias Russ

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

We investigate the features of the cosmological expansion history described by a recent model of gravity characterised by two nonlocally interacting metrics. We perform a detailed analysis of the dynamical system formed by the field…

General Relativity and Quantum Cosmology · Physics 2019-05-09 Leonardo Giani , Tays Miranda , Oliver F. Piattella

We present the consistent theory of a free massive spin-2 field with 5 degrees of freedom propagating in spacetimes with an arbitrary geometry. We obtain this theory via linearizing the equations of the ghost-free massive gravity expressed…

High Energy Physics - Theory · Physics 2018-07-18 Charles Mazuet , Mikhail S. Volkov

In this paper we present some new cosmological solutions in massive gravity theory. Some homogeneous and isotropic solutions correctly describe accelerated evolutions for the universe. The study was realized considering a specific form to…

General Relativity and Quantum Cosmology · Physics 2017-07-03 A. Pinho S. S. , S. H. Pereira , E. L. Mendonça

Einstein-Strauss Hermitian gravity was recently formulated as a gauge theory where the tangent group is taken to be the pseudo-unitary group instead of the orthogonal group. A Higgs mechanism for massive gravity was also formulated. We…

High Energy Physics - Theory · Physics 2012-11-26 Ali H. Chamseddine , Viatcheslav Mukhanov

A theory of gravitation is constructed in which all homogeneous and isotropic solutions are nonsingular, and in which all curvature invariants are bounded. All solutions for which curvature invariants approach their limiting values approach…

General Relativity and Quantum Cosmology · Physics 2009-10-22 R. Brandenberger , V. Mukhanov , A. Sornborger

A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model,…

High Energy Physics - Theory · Physics 2009-07-10 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

Massive higher spin fields on de Sitter space exhibit enhanced gauge symmetries at special values of the mass. These fields are known as "partially massless." We study the structure of the charges and Gauss laws which characterize sources…

High Energy Physics - Theory · Physics 2017-06-06 Kurt Hinterbichler , Rachel A. Rosen

While most fundamental interactions in nature are known to be mediated by quantized fields, the possibility has been raised that gravity may behave differently. Making this concept precise enough to test requires consistent models. Here we…

Quantum Physics · Physics 2023-01-23 Daniel Carney , Jacob M. Taylor

In this article we will construct the most general torsion-free parity-invariant covariant theory of gravity that is free from ghost-like and tachyonic nstabilities around constant curvature space-times in four dimensions. Specifically,…

High Energy Physics - Theory · Physics 2016-02-29 Tirthabir Biswas , Alexey S. Koshelev , Anupam Mazumdar

Many effective field theories describing gravity cannot arise from an underlying theory based on Riemann geometry or its extensions to include torsion and nonmetricity but may instead emerge from another geometry or may have a nongeometric…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Alan Kostelecky , Zonghao Li

The cosmological evolution of free massless vector or tensor (but not gauge) fields minimally coupled to gravity is analyzed. It is shown that there are some unstable solutions for these fields in De Sitter background. The back reaction of…

Astrophysics · Physics 2009-12-30 A. D. Dolgov

This work deals with the theory of a quantized spin-2 field in the framework of causal perturbation theory. It is divided into two parts. In the first part we analyze the gauge structure of a massless self-interacting quantum tensor field.…

High Energy Physics - Theory · Physics 2007-05-23 M. Wellmann

A new cosmological model based on the de Sitter gravity is investigated by dynamical analysis and numerical discussions. Via some transformations, the evolution equations of this model can form an autonomous system with 8 physical critical…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-01 Xi-chen Ao , Xin-zhou Li , Ping Xi

Linearized gravity is considered as an ordinary gauge field theory. This implies the need for gauge fixing in order to have well defined propagators. Only after having achieved this, the most general mass term is added. The aim of this…

High Energy Physics - Theory · Physics 2017-10-25 Alberto Blasi , Nicola Maggiore

We propose a new classical theory of gravity which is based on the principle of equivalence and assumption that gravity, similarly to electrodynamics, is described by a vector field in Minkowski space-time. We show that such assumptions…

General Relativity and Quantum Cosmology · Physics 2009-04-22 Anatoly A. Svidzinsky

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 find the explicit forms of the anti-de Sitter plane, anti-de Sitter spherical, and pp waves that solve both the linearized and exact field equations of the most general higher derivative gravity theory in three dimensions. As a…

High Energy Physics - Theory · Physics 2015-10-14 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin