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Related papers: Nonlinear Partially Massless from Massive Gravity?

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Off-diagonal vacuum and nonvacuum configurations in Einstein gravity can mimic physical effects of modified gravitational theories of $f(R,T,R_{\mu \nu}T^{\mu \nu})$ type. To prove this statement, exact and approximate solutions are…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Emilio Elizalde , Sergiu I. Vacaru

The asymptotic solutions of cosmological topologically massive gravity (TMG) are analyzed for values of the mass parameter in the range $\mu\geq1$. At non-chiral values, a new term in the Fefferman-Graham expansion is needed to capture the…

High Energy Physics - Theory · Physics 2011-09-22 Colin Cunliff

We propose a nonlinear massive gravitational theory which includes $F(R)$ modifications. This construction inherits the benefits of the de Rham-Gabadadze-Tolley model and is free of the Boulware-Deser ghost due to the existence of a…

High Energy Physics - Theory · Physics 2014-10-03 Yi-Fu Cai , Francis Duplessis , Emmanuel N. Saridakis

The existence of a ghost free theory of massive gravity begs for an interpretation as a Higgs phase of General Relativity. We revisit the study of massive gravity as a Higgs phase. Absent a compelling microphysical model of spontaneous…

High Energy Physics - Theory · Physics 2015-08-06 Garrett Goon , Kurt Hinterbichler , Austin Joyce , Mark Trodden

We address the question whether a graviton could have a small nonzero mass. The issue is subtle for two reasons: there is a discontinuity in the mass in the lowest tree-level approximation, and, moreover, the nonlinear four-dimensional…

High Energy Physics - Theory · Physics 2009-10-07 Cedric Deffayet , Gia Dvali , Gregory Gabadadze , Arkady Vainshtein

We suggest a class of generally covariant ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant and featuring a mechanism of dark matter…

High Energy Physics - Theory · Physics 2015-05-28 A. O. Barvinsky

The theory of nonlinear massive gravity can be extended into the F(R) form as developed in Phys.Rev.D90, 064051 (2014). Being free of the Boulware-Deser ghost, such a construction has the additional advantage of exhibiting no linear…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-08 Yi-Fu Cai , Emmanuel N. Saridakis

Modifying gravity at large distances by means of a massive graviton may explain the observed acceleration of the Universe without Dark Energy. The standard paradigm for Massive Gravity is the Fierz-Pauli theory, which, nonetheless, displays…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Giulio Gambuti , Nicola Maggiore

In this work we present a systematic construction of the potentially ghost-free non-linear massive gravity actions. The most general action can be regarded as a 2-parameter deformation of a minimal massive action. Further extensions vanish…

High Energy Physics - Theory · Physics 2015-05-27 S. F. Hassan , Rachel A. Rosen

General Relativity is known to produce singularities in the potential generated by a point source. Our universe can be modelled as a de Sitter (dS) metric and we show that ghost-free Infinite Derivative Gravity (IDG) produces a non-singular…

General Relativity and Quantum Cosmology · Physics 2018-04-06 James Edholm

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these…

High Energy Physics - Theory · Physics 2008-11-26 Gregory Gabadadze , Yanwen Shang

We study the evolution of cosmological perturbations in f(G) gravity, where the Lagrangian is the sum of a Ricci scalar R and an arbitrary function f in terms of a Gauss-Bonnet term G. We derive the equations for perturbations assuming…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Antonio De Felice , David F. Mota , Shinji Tsujikawa

Theories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a…

High Energy Physics - Theory · Physics 2015-05-30 S. F. Hassan , Rachel A. Rosen , Angnis Schmidt-May

The study of linear perturbation theory for general functions of the Ricci and Gauss-Bonnet scalars is done over an empty anisotropic universe, i.e. the Kasner-type background, in order to show that an anisotropic background in general has…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-27 Antonio De Felice , Takahiro Tanaka

The accelerated expansion of the universe poses a significant challenge to General Relativity. Non-local modifications to gravity have emerged as a compelling class of theories to address this dark energy puzzle. Building upon earlier…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Susobhan Mandal , S. Shankaranarayanan

This work focuses on an unexplored aspect of non-symmetric geometry where {\it only} the off-diagonal metric components along the extra dimension, in a 5-dimensional spacetime, are non-symmetric. We show that the energy densities of the…

General Relativity and Quantum Cosmology · Physics 2013-07-03 Suman Ghosh , S. Shankaranarayanan

We study linearized massive gravity on the de Sitter background. With a small-enough graviton mass this may have had relevance to inflation, or the present-day cosmic acceleration. Higuchi has shown that this theory has a ghost as long as…

High Energy Physics - Theory · Physics 2008-09-19 Gregory Gabadadze , Alberto Iglesias , Yanwen Shang

Performing Hamiltonian analysis of the massive gravity [9] in full phase space, we see that the theory is ghost free. We also see in a more clear way that this result is intrinsic of the interaction term and does not depend on the variables…

High Energy Physics - Theory · Physics 2018-08-01 Zahra Molaee , Ahmad Shirzad

Modified gravity theories with the Gauss-Bonnet term $G=R^2-4R^{\mu\nu}R_{\mu\nu}+R^{\mu\nu\rho\sigma}R_{\mu\nu\rho\sigma}$ have recently gained a lot of attention as a possible explanation of dark energy. We perform a thorough phase space…

General Relativity and Quantum Cosmology · Physics 2010-10-01 Shuang-Yong Zhou , Edmund J. Copeland , Paul M. Saffin

We investigate O'Raifeartaigh-type models for F-term supersymmetry breaking in gauge mediation scenarios in the presence of gravity. It is pointed out that the vacuum structure of those models is such that in metastable vacua gravity…

High Energy Physics - Phenomenology · Physics 2009-11-19 Zygmunt Lalak , Stefan Pokorski , Krzysztof Turzynski