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We propose a new theory of massive gravity with only two propagating degrees of freedom. After defining the theory in the unitary gauge in the vielbein language, we shall perform a Hamiltonian analysis to count the number of physical…

High Energy Physics - Theory · Physics 2015-12-17 Antonio De Felice , Shinji Mukohyama

We explore the space of spherically symmetric, static solutions in the decoupling limit of a class of non-linear covariant extensions of Fierz-Pauli massive gravity obtained recently in arXiv:1007.0443. In general, several such solutions…

High Energy Physics - Theory · Physics 2015-05-28 Giga Chkareuli , David Pirtskhalava

We explore the nonlinear classical dynamics of the three-dimensional theory of "New Massive Gravity" proposed by Bergshoeff, Hohm and Townsend. We find that the theory passes remarkably highly nontrivial consistency checks at the nonlinear…

High Energy Physics - Theory · Physics 2015-05-27 Claudia de Rham , Gregory Gabadadze , David Pirtskhalava , Andrew J. Tolley , Itay Yavin

We construct a model for noncommutative gravity in four dimensions, which reduces to the Einstein-Hilbert action in the commutative limit. Our proposal is based on a gauge formulation of gravity with constraints. While the action is metric…

High Energy Physics - Theory · Physics 2017-08-23 Matteo A. Cardella , Daniela Zanon

We construct a four-dimensional (4D) gauge theory that propagates, unitarily, the five polarization modes of a massive spin-2 particle. These modes are described by a "dual" graviton gauge potential and the Lagrangian is 4th-order in…

High Energy Physics - Theory · Physics 2015-06-04 Eric A. Bergshoeff , J. J. Fernandez-Melgarejo , Jan Rosseel , Paul K. Townsend

We consider four-dimensional massive gravity with the Fierz-Pauli mass term. The analysis of the scalar sector has revealed recently that this theory becomes strongly coupled above the energy scale \Lambda = (M_{Pl}^2 m^4)^{1/5} where m is…

High Energy Physics - Theory · Physics 2009-11-10 Aurele Aubert

In a previous paper we presented the renormalization of Einstein-Hilbert gravity under inclusion of higher derivative terms and proposed a projection down to the physical state space of Einstein-Hilbert. In the present paper we describe…

High Energy Physics - Theory · Physics 2024-04-19 Steffen Pottel , Klaus Sibold

We revisit the problem of constructing consistent interactions between a massive spin-3/2 field and a partially massless graviton in four-dimensional (A)dS spacetime. We use the Stueckelberg formulation of the action principle for these…

High Energy Physics - Theory · Physics 2023-10-10 Nicolas Boulanger , Guillaume Lhost , Sylvain Thomée

We present a new massive spin two field theory which has smooth massless limit based on BRS formalism. Our model contains a parameter a which extendes Fierz-Pauli's mass term. Although redundant scalar ghost exists in our model, physical…

High Energy Physics - Theory · Physics 2007-05-23 Ki-Ichiro Sato

A modified Einstein-Gauss-Bonnet gravity in four dimensions where the quadratic Gauss-Bonnet term is coupled to a scalar field is considered. The field equations of the model are obtained by variational methods by making use of the…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Hatice Özer , Ahmet Baykal , Özgür Delice

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

After summarizing basic concepts for the exterior algebra we firstly discuss the gauge structure of the bundle over base manifold for deciding the form of the gravitational sector of the total Lagrangian in any dimensions. Then we couple…

General Relativity and Quantum Cosmology · Physics 2023-07-17 Caglar Pala , Ertan Kok , Ozcan Sert , Muzaffer Adak

We study the gravitational action induced by coupling two-dimensional non-conformal, massive matter to gravity on a compact Riemann surface. We express this gravitational action in terms of finite and well-defined quantities for any value…

High Energy Physics - Theory · Physics 2017-03-08 Adel Bilal , Laetitia Leduc

Recently there has been a surge of interest in studying Lorentzian quantum cosmology using Picard-Lefschetz methods. The present paper aims to explore the Lorentzian path-integral of Gauss-Bonnet gravity in four spacetime dimensions with…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Gaurav Narain

We show that that four dimensional conformal gravity plus a simple Neumann boundary condition can be used to get the semiclassical (or tree level) wavefunction of the universe of four dimensional asymptotically de-Sitter or Euclidean…

High Energy Physics - Theory · Physics 2011-06-10 Juan Maldacena

We develop a new technique for studying the perturbations of dRGT-type massive gravity theories around arbitrary background spacetimes. Built initially from the vielbein formulation of the theory, but switching back to the metric…

High Energy Physics - Theory · Physics 2025-11-25 Kieran Wood

We present a generally-covariant and parity-invariant "zwei-dreibein" action for gravity in three space-time dimensions that propagates two massive spin-2 modes, unitarily, and we use Hamiltonian methods to confirm the absence of unphysical…

High Energy Physics - Theory · Physics 2013-12-18 Eric A. Bergshoeff , Sjoerd de Haan , Olaf Hohm , Wout Merbis , Paul K. Townsend

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

In this note, we revisit the 4-dimensional theory of massive gravity through compactification of an extra dimension and geometric symmetry breaking. We dimensionally reduce the 5-dimensional topological Chern-Simons gauge theory of (anti)…

High Energy Physics - Theory · Physics 2020-10-20 Mahdi Torabian

We analyze 2+1-dimensional gravity in the framework of quantum gauge theory. We find that Einstein gravity has a trivial physical subspace which reflects the fact that the classical solution in empty space is flat. Therefore we study…

General Relativity and Quantum Cosmology · Physics 2010-08-10 D. R. Grigore , G. Scharf