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Related papers: Ghosts in Massive Gravity

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We consider an auxiliary fields formulation for the general fourth-order gravity on an arbitrary curved background. The case of a Ricci-flat background is elaborated in full details and it is shown that there is an equivalence with the…

General Relativity and Quantum Cosmology · Physics 2015-04-28 Sebastiao Mauro , Roberto Balbinot , Alessandro Fabbri , Ilya L. Shapiro

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Stefan Sjors , Edvard Mortsell

We show that all non-linear completions of the Fierz-Pauli massive gravity are ruled out, because all theories which might be ghost-free have superluminal modes.

High Energy Physics - Theory · Physics 2011-06-21 Andrei Gruzinov

We explore the cosmological solutions of a recently proposed extension of General Relativity with a Lorentz-invariant mass term. We show that the same constraint that removes the Boulware-Deser ghost in this theory also prohibits the…

High Energy Physics - Theory · Physics 2013-05-29 G. D'Amico , C. de Rham , S. Dubovsky , G. Gabadadze , D. Pirtskhalava , A. J. Tolley

Lorentz-invariant massive gravity is usually associated with a strong coupling scale $\Lambda_3$. By including non-trivial effects from the Stueckelberg modes, we show that about these vacua, one can push the strong coupling scale to higher…

High Energy Physics - Theory · Physics 2016-05-11 Claudia de Rham , Andrew J. Tolley , Shuang-Yong Zhou

Massive gravity in the weak field limit is described by the Fierz-Pauli theory with 5 degrees of freedom in four dimensions. In this theory, we calculate the gravitomagnetic effects (potential energy) between two point-like, spinning…

High Energy Physics - Theory · Physics 2016-02-29 Kezban Tasseten , Bayram Tekin

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

We prove that many cosmological models characterized by vectors nonminimally coupled to the curvature (such as the Turner-Widrow mechanism for the production of magnetic fields during inflation, and models of vector inflation or vector…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-07 Burak Himmetoglu , Carlo R. Contaldi , Marco Peloso

We investigate generally covariant theories which admit a Fierz-Pauli mass term for metric perturbations around an arbitrary curved background. For this we restore the general covariance of the Fierz-Pauli mass term by introducing four…

High Energy Physics - Theory · Physics 2012-07-02 Lasma Alberte

We consider the issues that arise out of interpreting the ghost-free bimetric theory as a theory of a spin-2 field coupled to gravity. This requires identifying a gravitational metric and parameterizing deviations of the resulting theory…

High Energy Physics - Theory · Physics 2015-06-11 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

Gauge theory of gravity is formulated based on principle of local gauge invariance. Because the model has strict local gravitational gauge symmetry, gauge theory of gravity is a perturbatively renormalizable quantum model. However, in the…

High Energy Physics - Theory · Physics 2018-01-17 Ning Wu

Theories such as massive Galileons and massive gravity can satisfy the presently known improved positivity bounds provided they are weakly coupled. We discuss the form of the EFT Lagrangian for a weakly coupled UV completion of massive…

High Energy Physics - Theory · Physics 2018-05-09 Claudia de Rham , Scott Melville , Andrew J. Tolley

We show that the ghost degrees of freedom of Einstein gravity with a Weyl term can be eliminated by a simple mechanism that invokes local Lorentz symmetry breaking. We demonstrate how the mechanism works in a cosmological setting. The…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda , Ahmed Youssef

The quantum theory of a free particle on a portion of two-dimensional Euclidean space bounded by a circle and subject to non-local boundary conditions gives rise to bulk and surface states. Starting from this well known property, a…

High Energy Physics - Theory · Physics 2007-05-23 Giampiero Esposito

We consider generic derivative corrections to the Einstein gravity and find new classes of theories without ghost around the Minkowski background by means of an extension of the spacetime geometry. We assume the Riemann-Cartan geometry,…

High Energy Physics - Theory · Physics 2019-10-02 Katsuki Aoki , Shinji Mukohyama

In this paper, we discuss the existence of ghost star models in the Einstein-Maxwell framework. In order to explore these objects, we put forward the idea of Zeldovich and Novikov by keeping in mind that the energy density of such models…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Tayyab Naseer , K. Hassan , M. Sharif

Massive vector fields feature in several areas of particle physics, e.g., as carriers of weak interactions, dark matter candidates, or as an effective description of photons in a plasma. Here we investigate vector fields with…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Katy Clough , Thomas Helfer , Helvi Witek , Emanuele Berti

Theories that spontaneously break Lorentz invariance also violate diffeomorphism symmetries, implying the existence of extra degrees of freedom and modifications of gravity. In the minimal model (``ghost condensation'') with only a single…

High Energy Physics - Theory · Physics 2009-11-11 Hsin-Chia Cheng , Markus A. Luty , Shinji Mukohyama , Jesse Thaler

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 consider Lorentz-symmetry properties of the ghost-free massive gravity theory proposed by de Rham, Gabadadze, and Tolley. In particular, we present potentially observable effects in gravitational-wave propagation and in Newton's law,…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Robertus Potting