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We study static spherically symmetric solutions of massive bi-gravity theory, free from the Boulware-Deser ghost. We show the recovery of General Relativity via the Vainshtein mechanism, in the weak limit of the physical metric. We find a…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Eugeny Babichev , Marco Crisostomi

We present a formulation of ghost-free massive gravity with flat reference metric that exhibits the full non-linear constraint algebraically, in a way that can be directly implemented for numerical simulations. Motivated by the presence of…

High Energy Physics - Theory · Physics 2023-02-13 Claudia de Rham , Jan Kożuszek , Andrew J. Tolley , Toby Wiseman

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

The Hessian's determinant for a version of massive gravity given by an infinite expansion of a square root function of the induced metric, vanishes. We show that it allows us to eliminate one of four scalar fields used to generate the…

High Energy Physics - Theory · Physics 2013-05-01 Ali H. Chamseddine , Viatcheslav Mukhanov

When four scalar fields with global Lorentz symmetry are coupled to gravity and take a vacuum expectation value breaking diffeomorphism invariance spontaneously, the graviton becomes massive. This model is supersymmetrized by considering…

High Energy Physics - Theory · Physics 2013-08-09 Ola Malaeb

We investigate the attractor mechanism for spherically symmetric extremal black holes in Einstein-Born-Infeld-dilaton theory of gravity in four-dimensions, in the presence of a cosmological constant. We look for solutions analytic near the…

High Energy Physics - Theory · Physics 2010-02-03 Xian Gao

Numerous claims in the literature suggest that gravity induced on a higher co-dimensional surface violates unitarity in the weak coupling regime. However, it remained unclear, why a conserved source localized on this surface and giving rise…

High Energy Physics - Theory · Physics 2013-05-30 Felix Berkhahn , Stefan Hofmann , Florian Niedermann

We show the generic existence of metastable massive gravitons in the four-dimensional core of self-gravitating hypermonopoles in any number of infinite-volume extra-dimensions. Confinement is observed for Higgs and gauge bosons couplings of…

High Energy Physics - Theory · Physics 2012-05-08 Sean Murray , Christophe Ringeval , Simone Zonetti

We discuss how the ghost-free bigravity coupled with a single scalar field can be derived from a braneworld setup. We consider DGP two-brane model without radion stabilization. The bulk configuration is solved for given boundary metrics,…

High Energy Physics - Theory · Physics 2016-05-13 Yasuho Yamashita , Takahiro Tanaka

General Relativity (GR) is an effective field theory valid in the infrared regime. Quadratic curvature extensions intended to probe ultraviolet physics generically propagate a massive spin-$2$ ghost and are therefore non-unitary. One route…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Gaetano Lambiase , Shinji Mukohyama , Tanmay Kumar Poddar , Anna Chiara Rescigno

We constrain effective field theories by going beyond the familiar positivity bounds that follow from unitarity, analyticity, and crossing symmetry of the scattering amplitudes. As interesting examples, we discuss the implications of the…

High Energy Physics - Theory · Physics 2018-04-25 Brando Bellazzini , Francesco Riva , Javi Serra , Francesco Sgarlata

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 address some recent concerns about the absence of the Boulware-Deser ghost in the Stuckelberg formulation of nonlinear massive gravity. First we provide general arguments for why any ghost analysis in the Stuckelberg formulation has to…

High Energy Physics - Theory · Physics 2015-06-04 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

We revisit and extend the `Effective field theory for massive gravitons' constructed by Arkani-Hamed, Georgi and Schwartz in the light of recent progress in constructing ghost-free theories with multiple interacting spin-2 fields. We show…

High Energy Physics - Theory · Physics 2014-10-07 Johannes Noller , James H. C. Scargill , Pedro G. Ferreira

We construct the consistent ghost-free covariant scalar-vector-tensor gravity theories with second order equations of motion with derivative interactions. We impose locality, unitarity, Lorentz invariance and pseudo-Riemannian geometry as…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Lavinia Heisenberg

The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons or exotic matter, while staying true to…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Aindriú Conroy

We identify different helicity degrees of freedom of Fierz-Paulian massive gravity around generic backgrounds. We show that the two-parameter family proposed by de Rham, Gabadadze, and Tolley always propagates five degrees of freedom and…

High Energy Physics - Theory · Physics 2015-06-03 Mehrdad Mirbabayi

In this paper we investigate possible consistent ghost-free models containing massive spin 2 particles in three dimensions. We work in a constructive approach based on the frame-like gauge invariant description for such massive spin 2…

High Energy Physics - Theory · Physics 2015-06-05 Yu. M. Zinoviev

We present a solvable model of two-dimensional dilaton-gravity coupled to a massless scalar field. We locally integrate the field equations and briefly discuss the properties of the solutions. For a particular choice of the coupling between…

High Energy Physics - Theory · Physics 2009-10-31 Marco Cavaglia

The ghost free massive gravity modified Friedmann equations at cosmic scale and provided an explanation of cosmic acceleration without dark energy. We analyzed the cosmological solutions of the massive gravity in detail and confronted the…

General Relativity and Quantum Cosmology · Physics 2021-11-30 Yungui Gong