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We linearize the field equations for higher order theories that contain scalar invariants other than the Ricci scalar. We find that besides a massless spin-2 field (the standard graviton), the theory contains also spin-0 and spin-2 massive…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Charalampos Bogdanos , Salvatore Capozziello , Mariafelicia De Laurentis , Savvas Nesseris

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

To describe a massive graviton in 4D Minkowski space-time one introduces a quadratic term in the Lagrangian. This term, however, can lead to a readjustment or instability of the background instead of describing a massive graviton on flat…

High Energy Physics - Theory · Physics 2011-07-19 Gregory Gabadadze , Andrei Gruzinov

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

We perform the Hamiltonian analysis of minimal massive gravity coupled to the Galileon tadpole term. We determine all constraints and we argue that the physical degrees of freedom correspond to ten modes of the massive gravity together with…

High Energy Physics - Theory · Physics 2015-06-16 J. Kluson

The post-Minkowskian limit and gravitational wave solutions for general fourth-order gravity theories are discussed. Specifically, we consider a Lagrangian with a generic function of curvature invariants $f(R,…

General Relativity and Quantum Cosmology · Physics 2015-04-28 A. Stabile , S. Capozziello

We study the degrees of freedom in New General Relativity -- flat and metric compatible family of theories -- around the Minkowski background in a gauge invariant manner. First, we confirm the decoupling case, in which the theory reduces to…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Sebastian Bahamonde , Daniel Blixt , Konstantinos F. Dialektopoulos , Anamaria Hell

We investigate symmetric Metric-Affine Theories of Gravity with a Lagrangian containing all operators of dimension up to four that are relevant to free propagation in flat space. Complementing recent work in the antisymmetric case, we…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Yusuke Mikura , Roberto Percacci

In this paper we present an iterative method to generate an infinite class of new nonlocal field theories whose propagators are ghost-free. We first examine the scalar field case and show that the pole structure of such generalized…

High Energy Physics - Theory · Physics 2020-04-15 Luca Buoninfante , Gaetano Lambiase , Yuichi Miyashita , Wataru Takebe , Masahide Yamaguchi

Just like the vector gauge bosons in the gauge theories, it is now known that gravitons acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields. The point is that we should…

High Energy Physics - Theory · Physics 2014-11-20 Ichiro Oda

Using recent experimental results of detection of gravitational waves from the binary black hole signals by Advanced LIGO and Advanced Virgo, we investigate the propagation of gravitational waves in the context of fourth order gravity…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Gaetano Lambiase , Mairi Sakellariadou , Antonio Stabile

We consider a hybrid metric-Palatini theory whose action depends on the metric and Palatini scalar curvatures, together with the corresponding quadratic Ricci invariants, through an arbitrary function…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Jonathan Ramírez , Gustavo Melgarejo

A theory with the action combining the Einstein--Hilbert term and graviton mass terms violating Lorentz invariance is considered at linearized level about Minkowskian background. It is shown that with one of the masses set equal to zero,…

High Energy Physics - Theory · Physics 2007-05-23 V. Rubakov

A generalization to the theory of massive gravity is presented which includes three dynamical metrics. It is shown that at the linear level, the theory predicts a massless spin-2 field which is decoupled from the other two gravitons which…

High Energy Physics - Theory · Physics 2013-08-13 Nima Khosravi , Nafiseh Rahmanpour , Hamid Reza Sepangi , Shahab Shahidi

Under the assumptions of General Relativity (GR), gravitational waves propagate at the speed of light and their mediation can be represented as a particle through a massless graviton. We investigate the impact and observability of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-24 Margaret Johnston , Marios Kalomenopoulos , Carl-Johan Haster

In this paper, we propose a massive gravity theory with 5 degrees of freedom. The mass term is constructed by 3 Stuckelberg scalar fields, which respects SO(3) symmetry in the fields' configuration. By the analysis on the linear…

High Energy Physics - Theory · Physics 2014-08-06 Chunshan Lin

We investigate the degrees of freedom of new general relativity. This theory is a three-parameter theory and is classified into nine irreducible types according to the rotation symmetry of $SO(3)$ on each leaf of ADM-foliation. In this…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Kyosuke Tomonari , Daniel Blixt

We study in a systematic way a generic nonderivative (massive) deformation of general relativity using the Hamiltonian formalism. The number of propagating degrees of freedom is analyzed in a nonperturbative and background independent way.…

High Energy Physics - Theory · Physics 2013-02-20 D. Comelli , M. Crisostomi , F. Nesti , L. Pilo

We investigate the gravitational wave polarization modes and stability in Weyl geometry gravity within a Minkowski background. Our results indicate that the tensor sector consists of two standard modes propagating at the speed of light.…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Yu-Zhi Fan , Xiao-Bin Lai , Yu-Qi Dong , Yu-Xiao Liu

We find a new class of theories of massive gravity with five propagating degrees of freedom where only rotations are preserved. Our results are based on a non-perturbative and background-independent Hamiltonian analysis. In these theories…

High Energy Physics - Theory · Physics 2015-06-15 Denis Comelli , Fabrizio Nesti , Luigi Pilo