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We investigate the Hamiltonian formulation of $f(T)$ gravity and find that there are five degrees of freedom. The six first class constraints corresponding to the local Lorentz transformation in Teleparallel gravity become second class…

High Energy Physics - Theory · Physics 2011-08-01 Miao Li , Rong-Xin Miao , Yan-Gang Miao

The accelerated expansion of the universe poses a significant challenge to General Relativity. Non-local modifications to gravity have emerged as a compelling class of theories to address this dark energy puzzle. Building upon earlier…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Susobhan Mandal , S. Shankaranarayanan

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

It is shown that a first-order cosmological perturbation theory for the open, flat and closed Friedmann-Lema\^itre-Robertson-Walker universes admits one, and only one, gauge-invariant variable which describes the perturbation to the energy…

General Relativity and Quantum Cosmology · Physics 2014-10-02 P. G. Miedema , W. A. van Leeuwen

We consider a class of models with infinite extra dimension, where bulk space does not possess SO(1,3) invariance, but Lorentz invariance emerges as an approximate symmetry of the low-energy effective theory. In these models, the maximum…

High Energy Physics - Theory · Physics 2014-11-18 S. L. Dubovsky

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

Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while preserving internal gauge symmetries are…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Alan Kostelecky , Zonghao Li

We address the question whether a graviton could have a small nonzero mass. The issue is subtle for two reasons: there is a discontinuity in the mass in the lowest tree-level approximation, and, moreover, the nonlinear four-dimensional…

High Energy Physics - Theory · Physics 2009-10-07 Cedric Deffayet , Gia Dvali , Gregory Gabadadze , Arkady Vainshtein

We consider a theory of gravity in which a symmetric two-index tensor in Minkowski spacetime acquires a vacuum expectation value (vev) via a potential, thereby breaking Lorentz invariance spontaneously. When the vev breaks all the…

High Energy Physics - Theory · Physics 2009-08-13 Sean M. Carroll , Heywood Tam , Ingunn Kathrine Wehus

We study different phenomenological signatures associated with new spin-2 particles. These new degrees of freedom, that we call hidden gravitons, arise in different high-energy theories such as extra-dimensional models or extensions of…

High Energy Physics - Phenomenology · Physics 2017-10-25 J. A. R. Cembranos , A. L. Maroto , H. Villarrubia-Rojo

We explore perturbations about a Friedmann-Robertson-Walker background in Chern-Simons gravity. At large momenta one of the two circularly polarized tensor modes becomes ghostlike. We argue that nevertheless the theory does not exhibit…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Sergei Dyda , Eanna E. Flanagan , Marc Kamionkowski

We obtain the fully covariant linearized field equations for the metric perturbation in the de Rham-Gabadadze-Tolley (dRGT) ghost free massive gravities. For a subset of these theories, we show that the non dynamical metric that appears in…

High Energy Physics - Theory · Physics 2015-05-18 Laura Bernard , Cedric Deffayet , Mikael von Strauss

Massive gravity is an interesting theoretical framework capable of explaining among others things cosmological IR (infra-red) phenomena like late-time cosmic acceleration. Unfortunately, it turned out to be very difficult of getting…

General Physics · Physics 2026-01-13 Emmanuel Kanambaye

We consider an $O(d,d;\mathbb{Z})$ invariant massive deformation of double field theory at the level of free theory. We study Kaluza-Klein reduction on $R^{1,n-1} \times T^{d}$ and derive the diagonalized second order action for each…

High Energy Physics - Theory · Physics 2021-02-24 Toshifumi Noumi , Kaishu Saito , Jiro Soda , Daisuke Yoshida

We study gravity coupled to a cosmological constant and a scale but not conformally invariant sector. In Minkowski vacuum, scale invariance is spontaneously broken. We consider small fluctuations around the Minkowski vacuum. At the…

High Energy Physics - Theory · Physics 2016-06-22 Stefan Forste , Paul Manz

We study the New Massive Gravity extended by the curvature cubed invariant and the Cosmological Constant using the tree-level scattering amplitudes on a maximally symmetric space-time. We identify the parameter space, consisting of the…

High Energy Physics - Theory · Physics 2020-06-16 Giorgi Tukhashvili

We present a "Chern-Simons-like" action for the "general massive gravity" model propagating two spin-2 modes with independent masses in three spacetime dimensions (3D), and we use it to find a simple Hamiltonian form of this model. The…

High Energy Physics - Theory · Physics 2015-06-05 Olaf Hohm , Alasdair Routh , Paul K. Townsend , Baocheng Zhang

We show that a partially massless graviton can propagate on a large set of spacetimes which are not Einstein spacetimes. Starting from a recently constructed theory for a massive graviton that propagates the correct number of degrees of…

High Energy Physics - Theory · Physics 2018-08-31 Laura Bernard , Cedric Deffayet , Kurt Hinterbichler , Mikael von Strauss

Minimally modified gravity theories are modifications of general relativity with two local gravitational degrees of freedom in four dimensions. Their construction relies on the breaking of 4D diffeomorphism invariance keeping however the…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Shinji Mukohyama , Karim Noui

We study a metric cubic gravity theory considering odd-parity modes of linear inhomogeneous perturbations on a spatially homogeneous Bianchi type I manifold close to the isotropic de Sitter spacetime. We show that in the regime of small…

General Relativity and Quantum Cosmology · Physics 2020-07-20 Masroor C. Pookkillath , Antonio De Felice , Alexei A. Starobinsky
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