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The coupling of gravity to dust helps to discover simple quadratic combinations of the gravitational super-Hamiltonian and supermomentum whose Poisson brackets strongly vanish. This leads to a new form of vacuum constraints which generate a…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Karel V. Kuchar , Joseph D. Romano

A consistent theory of massive gravity, where the graviton acquires mass by spontaneously breaking diffeomorphism invariance, is now well established. We supersymmetrize this construction using N =1 fields. Coupling to N = 1 supergravity is…

High Energy Physics - Theory · Physics 2015-06-15 Ola Malaeb

Massive gravity is a theory which has a tremendous amount of freedom to describe different cosmologies; but at the same time the various solutions one encounters must fulfill some rather nontrivial constraints. Most of the freedom comes not…

General Relativity and Quantum Cosmology · Physics 2013-08-21 Prado Martin-Moruno , Matt Visser

We construct the spin-projection operators for a theory containing a symmetric two-index tensor and a general three-index tensor. We then use them to analyse, at linearized level, the most general action for a metric-affine theory of…

High Energy Physics - Theory · Physics 2025-03-27 R. Percacci , E. Sezgin

It is possible to couple Dirac-Born-Infeld (DBI) scalars possessing generalized Galilean internal shift symmetries (Galileons) to nonlinear massive gravity in four dimensions, in such a manner that the interactions maintain the Galilean…

High Energy Physics - Theory · Physics 2013-08-19 Melinda Andrews , Garrett Goon , Kurt Hinterbichler , James Stokes , Mark Trodden

In this paper we present a very simple and independent argument for the absence of the Boulware-Deser ghost in the recently proposed potentially ghost-free non-linear massive gravity. The limitation is that, in its simple form, the argument…

General Relativity and Quantum Cosmology · Physics 2012-01-11 Alexey Golovnev

Galileons are higher-derivative theories of a real scalar which nevertheless admit second order equations of motion. They have interesting applications as dark energy models and in early universe cosmology, and have been conjectured to…

High Energy Physics - Theory · Physics 2013-08-09 Michael Koehn , Jean-Luc Lehners , Burt Ovrut

$f(R)$ supergravity is known to contain a ghost mode associated with higher-derivative terms if it contains $R^n$ with $n$ greater than two.We remove the ghost in $f(R)$ supergravity by introducing auxiliary gauge field to absorb the ghost.…

High Energy Physics - Theory · Physics 2018-06-13 Toshiaki Fujimori , Muneto Nitta , Keisuke Ohashi , Yusuke Yamada

We study four-dimensional gravity theories that are rendered renormalisable by the inclusion of curvature-squared terms to the usual Einstein action with cosmological constant. By choosing the parameters appropriately, the massive scalar…

High Energy Physics - Theory · Physics 2011-05-23 H. Lu , C. N. Pope

We consider massive higher-spin multiplets coupled to quantum gravity and compute their contributions to the gravitational beta functions at one loop. Such theories, if quantized with the Feynman prescription, would contain ghosts. Instead,…

High Energy Physics - Theory · Physics 2022-02-15 Marco Piva

The origin of the observed dark energy could be explained entirely within the standard model, with no new fields required. We show how the low-energy sector of the chiral QCD Lagrangian, once embedded in a non-trivial spacetime, gives rise…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Federico R. Urban , Ariel R. Zhitnitsky

Massive Gravity in four dimensions has been shown to be free of the Boulware-Deser (BD) ghost in the ADM language for a specific choice of mass terms. We show here how this is consistent with the St\"uckelberg language beyond the decoupling…

High Energy Physics - Theory · Physics 2012-04-10 Claudia de Rham , Gregory Gabadadze , Andrew Tolley

The recent detection of the gravitational wave signal GW170817 together with an electromagnetic counterpart GRB 170817A from the merger of two neutron stars puts a stringent bound on the tensor propagation speed. This constraint can be…

General Relativity and Quantum Cosmology · Physics 2022-08-03 Lavinia Heisenberg , Shinji Tsujikawa

The tetrad approach is used to resolve the matrix square root appearing in the dRGT potential. Constraints and their algebra are derived for the minimal case. It is shown that the number of gravitational degrees of freedom corresponds to…

High Energy Physics - Theory · Physics 2014-10-02 Vladimir O. Soloviev

A new representation is found for the action of the recently suggested ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant. This representation…

High Energy Physics - Theory · Physics 2015-06-11 A. O. Barvinsky , Yu. V. Gusev

A systematic method is presented for determining the conditions on the parameters in the action of a parity-preserving gauge theory of gravity for it to contain no ghost or tachyon particles. The technique naturally accommodates critical…

General Relativity and Quantum Cosmology · Physics 2019-04-19 Yun-Cherng Lin , Michael P. Hobson , Anthony N. Lasenby

Quasidilaton massive gravity is an extension of massive General Relativity to a theory with additional scale invariance and approximate internal Galilean symmetry. The theory has a novel self-accelerated solution with the metric…

High Energy Physics - Theory · Physics 2014-07-16 Gregory Gabadadze , Rampei Kimura , David Pirtskhalava

The possible existence of a complex metric tensor field is studied. We show that an effective scalar field is induced by an overall phase component of the complex metric tensor. The corresponding gauge field is shown to be a tachyon.…

High Energy Physics - Theory · Physics 2007-05-23 W. F. Kao

Poincar\'e gauge theories provide an approach to gravity based on the gauging of the Poincar\'e group, whose homogeneous part generates curvature while the translational sector gives rise to torsion. In this note we revisit the stability of…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Jose Beltrán Jiménez , Francisco José Maldonado Torralba

We study a metric cubic gravity theory considering odd-parity modes of linear inhomogeneous perturbations on a spatially homogeneous Bianchi type I manifold close to the isotropic de Sitter spacetime. We show that in the regime of small…

General Relativity and Quantum Cosmology · Physics 2020-07-20 Masroor C. Pookkillath , Antonio De Felice , Alexei A. Starobinsky