Journal ArticleDOI
Second-order scalar-tensor field equations in a four-dimensional space
TLDR
In this article, the second-order Euler-Lagrange tensors are derived from a Lagrangian which is at most of second order in the derivatives of the field functions.Abstract:
Lagrange scalar densities which are concomitants of a pseudo-Riemannian metric-tensor, a scalar field and their derivatives of arbitrary order are considered. The most general second-order Euler-Lagrange tensors derivable from such a Lagrangian in a four-dimensional space are constructed, and it is shown that these Euler-Lagrange tensors may be obtained from a Lagrangian which is at most of second order in the derivatives of the field functions.read more
Citations
More filters
Journal ArticleDOI
Screening fifth forces in generalized Proca theories
Antonio De Felice,Lavinia Heisenberg,Ryotaro Kase,Shinji Tsujikawa,Ying Li Zhang,Ying Li Zhang,Gong-Bo Zhao +6 more
TL;DR: In this paper, the authors consider generalized Proca theories with second-order equations of motion in a curved space-time and study how the longitudinal scalar mode of the vector field gravitates on a spherically symmetric background.
Journal ArticleDOI
Linear growth of structure in massive bigravity
TL;DR: In this paper, the ghost-free theory of massive gravity with two dynamical metrics has been shown to produce viable cosmological expansion, where the late-time acceleration of the Universe is due to the finite range of the gravitational interaction rather than a nonzero cosmology constant.
Book
Extensions of F(r) Gravity: Curvature-Matter Couplings and Hybrid Metric-Palatini Theory
TL;DR: In this article, a detailed theoretical and phenomenological analysis of several leading, modified theories of gravity is presented, including generalised curvature-matter couplings and hybrid metric-Palatini gravity.
Journal ArticleDOI
Black Holes and Scalar Fields
TL;DR: In this paper, no-hair theorems in theories of gravity with a scalar field are briefly and critically reviewed, their significance and limitations are discussed and potential evasions are considered.
Journal ArticleDOI
Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography
TL;DR: In this paper, a general Kaluza-Klein reduction of a truncated Lovelock theory is considered, and necessary geometric conditions for the reduction to be consistent are given.
References
More filters
Journal ArticleDOI
Mach's principle and a relativistic theory of gravitation
Carl H. Brans,R. H. Dicke +1 more
TL;DR: In this paper, the role of Mach's principle in physics is discussed in relation to the equivalence principle and the difficulties encountered in attempting to incorporate Mach's principles into general relativity are discussed.
Journal ArticleDOI
The Einstein Tensor and Its Generalizations
TL;DR: In this paper, the number of independent tensors of this type depends crucially on the dimension of the space, and, in the four dimensional case, the only tensors with these properties are the metric and the Einstein tensors.
Journal ArticleDOI
Comments on the scalar-tensor theory
TL;DR: In this article, the ponderomotive laws of a scalar-tensor theory are constructed free of approximations in the form of integral laws, and the integrals are extended over two-and three-dimensional domains that lie entirely in empty space but surround the regions containing matter.
Journal ArticleDOI
The uniqueness of the einstein field equations in a four-dimensional space.
TL;DR: In this article, the Euler-Lagrange equations corresponding to a Lagrange density which is a function of g ≥ 2 and its first two derivatives are investigated and necessary and sufficient conditions for these equations to be of second order are obtained and it is shown that in a four-dimensional space the Einstein field equations (with cosmological term) are the only permissible second order Euler Lagrange equations.
Related Papers (5)
Galileon as a local modification of gravity
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Adam G. Riess,Alexei V. Filippenko,Peter Challis,Alejandro Clocchiatti,Alan H. Diercks,Peter M. Garnavich,R. L. Gilliland,Craig J. Hogan,Saurabh Jha,Robert P. Kirshner,Bruno Leibundgut,Mark M. Phillips,David J Reiss,Brian P. Schmidt,R. A. Schommer,R. Chris Smith,R. Chris Smith,Jason Spyromilio,Christopher W. Stubbs,Nicholas B. Suntzeff,John L. Tonry +20 more