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The construction of general derivative self-interactions for a massive Proca field relies on the well-known condition for constrained systems of having a degenerate Hessian. The nature of the existing constraints algebra will distinguish…

高能物理 - 理论 · 物理学 2022-01-19 Claudia de Rham , Lavinia Heisenberg , Ankip Kumar , Jann Zosso

In conventional gravitational physics, the so-called "bootstrap procedure" can be used to extrapolate from a linear model of a rank-2 tensor to a full non-linear theory of gravity (i.e., general relativity) via a coupling to the…

广义相对论与量子宇宙学 · 物理学 2020-04-08 Michael D Seifert

Attempts at constraining theories of late time accelerated expansion often assume broad priors for the parameters in their phenomenological description. Focusing on shift-symmetric scalar-tensor theories with standard gravitational wave…

宇宙学与河外天体物理 · 物理学 2021-10-28 Dina Traykova , Emilio Bellini , Pedro G. Ferreira , Carlos García-García , Johannes Noller , Miguel Zumalacárregui

It was previously found that in a certain parameter subspace of scalar-tensor theories emerging from massive gravity, the only stable field configuration created by static spherically symmetric sources was one with cosmological asymptotics.…

高能物理 - 理论 · 物理学 2015-06-15 L. Berezhiani , G. Chkareuli , C. de Rham , G. Gabadadze , A. J. Tolley

Singularities in $(3+1)$-dimensional Horava-Lifshitz (HL) theory of gravity are studied. These singularities can be divided into scalar, non-scalar curvature, and coordinate singularities. Because of the foliation-preserving diffeomorphisms…

高能物理 - 理论 · 物理学 2010-04-29 Rong-Gen Cai , Anzhong Wang

We investigate the structure of nontrivial maximally symmetric vacua and compact-object solutions in shift-symmetric scalar-tensor theories. Focusing on Horndeski gravity, we derive consistency conditions directly from the field equations…

广义相对论与量子宇宙学 · 物理学 2026-01-30 Athanasios Bakopoulos , Christos Charmousis , Nikos Chatzifotis , Theodoros Nakas

We have studied a (1+2)-dimensional Lorentz-violating model which is obtained from the dimensional reduction of the nonbirefringent sector of the CPT-even electrodynamics of the standard model extension (SME). The planar theory contains a…

高能物理 - 理论 · 物理学 2012-03-08 Rodolfo Casana , Manoel M. Ferreira , Roemir P. M. Moreira

We study a massive vector tensor theory that acquires mass via a standard Proca term but also via a higher order term containing an explicit coupling to curvature. We find static solutions that are asymptotically flat, adS or Lifshitz black…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine

The generalized SU(2) Proca theory is a vector-tensor modified gravity theory where the action is invariant under both diffeomorphisms and global internal transformations of the SU(2) group. This work constitutes the first approach to…

广义相对论与量子宇宙学 · 物理学 2023-04-13 Jhan N. Martinez , Jose F. Rodriguez , Yeinzon Rodriguez , Gabriel Gomez

In general relativity with vector and scalar fields given by the Lagrangian ${\cal L}(F,\phi,X)$, where $F$ is a Maxwell term and $X$ is a kinetic term of the scalar field $\phi$, we study the linear stability of static and spherically…

广义相对论与量子宇宙学 · 物理学 2025-12-18 Antonio De Felice , Shinji Tsujikawa

We show that most classes of shift-symmetric degenerate higher-order scalar-tensor (DHOST) theories which satisfy certain degeneracy conditions are not compatible with the conditions for the existence of exact black hole solutions with a…

广义相对论与量子宇宙学 · 物理学 2019-09-04 Masato Minamitsuji , James Edholm

We study the cosmology of an extended version of Horndeski theories with second-order equations of motion on the flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) background. In addition to a dark energy field $\chi$ associated with the…

高能物理 - 理论 · 物理学 2014-09-01 Ryotaro Kase , Shinji Tsujikawa

We consider a general static, spherically symmetric background in the quadratic beyond Horndeski theory and analyse the behaviour of linear perturbations in both parity odd and parity even sectors. We derive a full set of stability…

广义相对论与量子宇宙学 · 物理学 2025-01-20 S. Mironov , V. Volkova

We study whether the approach of Deffayet et al. (DPSV) can be adopted for obtaining a derivative part of quadratic action for scalar perturbations in beyond Horndeski theories about homogeneous and isotropic backgrounds. We find that even…

高能物理 - 理论 · 物理学 2018-10-18 S. Mironov , V. Volkova

The Proca wave equation describes a classical massive spin 1 particle. We analyze the gravitational interaction of this vector field. In particular, the spherically symmetric solutions of the Einstein-Proca coupled system are obtained…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Yuri N. Obukhov , Eugen J. Vlachynsky

Recently, several extensions of massive vector theory in curved space-time have been proposed in many literatures. In this paper, we consider the most general vector-tensor theories that contain up to two derivatives with respect to metric…

广义相对论与量子宇宙学 · 物理学 2017-04-21 Rampei Kimura , Atsushi Naruko , Daisuke Yoshida

Horava's "Lifschitz point gravity" has many desirable features, but in its original incarnation one is forced to accept a non-zero cosmological constant of the wrong sign to be compatible with observation. We develop an extension of…

高能物理 - 理论 · 物理学 2009-07-22 Thomas P. Sotiriou , Matt Visser , Silke Weinfurtner

In a cylinder $\Omega_T=\Omega\times (0,T)\subset \R^{n+1}_+$ we study the boundary behavior of nonnegative solutions of second order parabolic equations of the form \[ Hu =\sum_{i,j=1}^ma_{ij}(x,t) X_iX_ju - \p_tu = 0, \…

偏微分方程分析 · 数学 2010-08-31 M. Frentz , N. Garofalo , E. Götmark , I. Munive , K. Nyström

We prove the constancy of surface gravity across a Killing horizon (not necessarily of bifurcate type) in arbitrary higher curvature theories of gravity coupled to Proca fields $-$ vector fields lacking $U(1)$ gauge invariance $-$ thus…

高能物理 - 理论 · 物理学 2025-09-12 Parthajit Biswas , Alokananda Kar , Anowar Shaikh

We study linear perturbations about static and spherically symmetric black holes with a time-independent background scalar field in shift-symmetric Horndeski theories, whose Lagrangian is characterized by coupling functions depending only…

广义相对论与量子宇宙学 · 物理学 2022-05-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa