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We consider a massive vector field with derivative interactions that propagates only the 3 desired polarizations (besides two tensor polarizations from gravity) with second-order equations of motion in curved space-time. The cosmological…

General Relativity and Quantum Cosmology · Physics 2016-07-05 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Mukohyama , Shinji Tsujikawa , Ying-li Zhang

Motivated by the GW170817/GRB170817A constraint on the deviation of the speed of gravitational waves from that of photons, we study disformal transformations of the metric in the context of the generalized Proca theory. The constraint…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Guillem Domènech , Shinji Mukohyama , Ryo Namba , Vassilis Papadopoulos

We consider higher-order derivative interactions beyond second-order generalized Proca theories that propagate only the three desired polarizations of a massive vector field besides the two tensor polarizations from gravity. These new…

High Energy Physics - Theory · Physics 2016-08-16 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

The beyond-generalized Proca theories are the extension of second-order massive vector-tensor theories (dubbed generalized Proca theories) with two transverse vector modes and one longitudinal scalar besides two tensor polarizations. Even…

General Relativity and Quantum Cosmology · Physics 2017-05-11 Shintaro Nakamura , Ryotaro Kase , Shinji Tsujikawa

The scalar-vector-tensor theories with second-order equations of motion can accommodate both Horndeski and generalized Proca theories as specific cases. In the presence of a perfect fluid, we study the cosmology in such a most general…

General Relativity and Quantum Cosmology · Physics 2018-11-20 Ryotaro Kase , Shinji Tsujikawa

The generalised Proca (GP) theory is a modified gravity model in which the acceleration of the cosmic expansion rate can be explained by self interactions of a cosmological vector field. In this paper we study a particular sub-class of the…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-23 Christoph Becker , Alexander Eggemeier , Christopher T. Davies , Baojiu Li

In scalar-vector-tensor (SVT) theories with parity invariance, we perform a gauge-ready formulation of cosmological perturbations on the flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) background by taking into account a matter perfect…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

The gravitational-wave event GW170817, together with the electromagnetic counterpart, shows that the speed of tensor perturbations $c_T$ on the cosmological background is very close to that of light $c$ for the redshift $z<0.009$. In…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-01 Shintaro Nakamura , Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

In the Horndeski's most general scalar-tensor theories the equations of scalar density perturbations are derived in the presence of non-relativistic matter minimally coupled to gravity. Under a quasi-static approximation on sub-horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Antonio De Felice , Tsutomu Kobayashi , Shinji Tsujikawa

We study the evolution of matter density perturbations in Galileon cosmology where the late-time cosmic acceleration can be realized by a field kinetic energy. We obtain full perturbation equations at linear order in the presence of five…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-23 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

We provide a general framework for studying the evolution of background and cosmological perturbations in the presence of a vector field $A_{\mu}$ coupled to cold dark matter (CDM). We consider an interacting Lagrangian of the form $Q f(X)…

General Relativity and Quantum Cosmology · Physics 2019-12-12 Shintaro Nakamura , Ryotaro Kase , Shinji Tsujikawa

We consider perturbations in the isotropic and homogeneous cosmological model with the spatially flat Friedmann-Lemaitre-Robertson-Walker metric in the framework of the theory of gravity with non-minimal derivative coupling. The Lagrangian…

General Relativity and Quantum Cosmology · Physics 2026-05-14 R. I. Kamalitdinov , S. V. Sushkov

In this work, we study interaction between dark energy and dark matter, where dark energy is described by a massive vector field, and dark matter is modelled as a fluid. We present a new interaction term, which affects only perturbations…

General Relativity and Quantum Cosmology · Physics 2024-11-04 Masroor C. Pookkillath , Kazuya Koyama

We study the degrees of freedom of the Proca theory, non-minimally coupled to gravity. In the Minkowski background, this theory propagates five degrees of freedom -- a massive longitudinal mode, two massive vector ones, and two massless…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Anamaria Hell

Scalar fields coupled to dark matter by conformal or disformal transformations give rise to a general class of scalar-tensor theories which leads to a rich phenomenology in a cosmological setting. While this possibility has been studied…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Gabriel Gómez

We derive the profile of a vector field coupled to matter on a static and spherically symmetric background in the context of generalized Proca theories. The cubic Galileon self-interaction leads to the suppression of a longitudinal vector…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Shintaro Nakamura , Ryotaro Kase , Shinji Tsujikawa

We study the evolution of cosmological perturbations in f(G) gravity, where the Lagrangian is the sum of a Ricci scalar R and an arbitrary function f in terms of a Gauss-Bonnet term G. We derive the equations for perturbations assuming…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Antonio De Felice , David F. Mota , Shinji Tsujikawa

For a massive vector field with derivative self-interactions, the breaking of the gauge invariance allows the propagation of a longitudinal mode in addition to the two transverse modes. We consider generalized Proca theories with…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa , Ying-li Zhang , Gong-Bo Zhao

We study a coupled dark energy scenario in which a massive vector field $A_{\mu}$ with broken $U(1)$ gauge symmetry interacts with the four-velocity $u_c^{\mu}$ of cold dark matter (CDM) through the scalar product $Z=-u_c^{\mu} A_{\mu}$.…

General Relativity and Quantum Cosmology · Physics 2020-09-29 Antonio De Felice , Shintaro Nakamura , Shinji Tsujikawa

In contrast to scalar and tensor modes, vector modes of linear perturbations around an expanding Friedmann--Robertson--Walker universe decay. This makes them largely irrelevant for late time cosmology, assuming that all modes started out at…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald , Golam Mortuza Hossain
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