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Massive gravity can be described by adding to the Einstein-Hilbert action a function V of metric components. By using the Hamiltonian canonical analysis, we find the most general form of V such that five degrees of freedom propagate non…

High Energy Physics - Theory · Physics 2015-04-17 Denis Comelli , Fabrizio Nesti , Luigi Pilo

We study the cosmology of general massive gravity theories with five propagating degrees of freedom. This large class of theories includes both the case with a residual Lorentz invariance as the cases with simpler rotational invariance. We…

High Energy Physics - Theory · Physics 2014-05-28 Denis Comelli , Fabrizio Nesti , Luigi Pilo

We introduce a technique for restoring general coordinate invariance into theories where it is explicitly broken. This is the analog for gravity of the Callan-Coleman-Wess-Zumino formalism for gauge theories. We use this to elucidate the…

High Energy Physics - Theory · Physics 2015-06-26 Nima Arkani-Hamed , Howard Georgi , Matthew D. Schwartz

We propose new massive gravity theories with 5 dynamical degrees of freedom. We evade uniqueness theorems regarding the form of the kinetic and potential terms by adopting the "generalized massive gravity" framework, where a global…

General Relativity and Quantum Cosmology · Physics 2020-07-01 A. Emir Gumrukcuoglu , Rampei Kimura , Kazuya Koyama

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

A graviton of a nonzero mass and decay width propagates five physical polarizations. The question of interactions of these polarizations is crucial for viability of models of massive/metastable gravity. This question is addressed in the…

High Energy Physics - Theory · Physics 2009-11-10 Gregory Gabadadze

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 conjecture an intrinsic UV cutoff for the validity of the effective field theory with a large number of species coupled to gravity. In four dimensions such a UV cutoff takes the form $\Lambda=\sqrt{\lambda/ N}M_p$ for $N$ scalar fields…

High Energy Physics - Theory · Physics 2008-11-26 Qing-Guo Huang

We consider a linearized, effective quantum theory of gravitation in which gravity weakens at energies higher than ~10^-3 eV in order to accommodate the apparent smallness of the cosmological constant. Such a theory predicts departures from…

Astrophysics · Physics 2008-11-26 R. R. Caldwell , Daniel Grin

A form of infinite derivative gravity is free from ghost-like instabilities with improved small scale behavior. In this theory, we calculate the tree-level scattering amplitude and the corresponding weak field potential energy between two…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Ercan Kilicarslan

In General Relativity (GR), the graviton is massless. However, a common feature in several theoretical alternatives of GR is a non-zero mass for the graviton. These theories can be described as massive gravity theories. Despite many…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-17 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee

In a gravitational theory with a massless photon the maximum charge-to-mass ratio of black holes approaches the prediction of the Einstein-Maxwell theory as black hole mass increases: $Q_{\rm ext}/M =1+ \alpha/M^2$ for some constant…

High Energy Physics - Theory · Physics 2019-07-09 Mehrdad Mirbabayi

We derive new positivity bounds at finite momentum transfer, assuming a large separation between the mass $m$ of the lightest particle in the effective theory and the mass gap $M$ to new heavy states. Massive gravity parametrically violates…

High Energy Physics - Theory · Physics 2024-02-06 Brando Bellazzini , Giulia Isabella , Sergio Ricossa , Francesco Riva

In the weak field approximation, the nonsymmetric gravitational theory has, in addition to the Newtonian gravitational potential, a Yukawa potential produced by the exchange of a spin $1^+$ boson between fermions. If the range $r_0$ is of…

Astrophysics · Physics 2015-06-24 J. W. Moffat

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 a recent paper [1], it was introduced a new class of gravitational theories with two local degrees of freedom. The existence of these theories apparently challenges the distinctive role of general relativity as the unique non-linear…

General Relativity and Quantum Cosmology · Physics 2018-10-30 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati

Theories with massive gravitons are interesting for a variety of physical applications, ranging from cosmological phenomena to holographic modeling of condensed matter systems. To date, they have been formulated as effective field theories…

High Energy Physics - Theory · Physics 2015-06-23 Diego Blas , Sergey Sibiryakov

We study the physics of a single discrete gravitational extra dimension using the effective field theory for massive gravitons. We first consider a minimal discretization with 4D gravitons on the sites and nearest neighbor hopping terms. At…

High Energy Physics - Theory · Physics 2011-07-19 Nima Arkani-Hamed , Matthew D. Schwartz

Within the weak-field approximation of general relativity, new exact solutions are derived for the gravitational field of a mass moving with arbitrary velocity and acceleration. A mass having a constant velocity greater than 3^-1/2 times…

General Relativity and Quantum Cosmology · Physics 2009-02-10 F. S. Felber

As an alternative to dark matter models, MOdified Gravity (MOG) theory can compensate for dark matter by a covariant modification of Einstein gravity. The theory introduces two additional scalar fields and one vector field. The aim is to…

Astrophysics of Galaxies · Physics 2015-06-16 J. W. Moffat , S. Rahvar
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