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
Unification of Galileon dualities
Karol Kampf,Jiří Novotný +1 more
TL;DR: In this article, the authors studied the dualities of the general Galileon theory in d dimensions in terms of coordinate transformations on the coset space corresponding to the spontaneously broken Galileon group.
Journal ArticleDOI
Alive and well: mimetic gravity and a higher-order extension in light of GW170817
TL;DR: In this article, a higher-order extension of the original mimetic theory, appearing in the low-energy limit of projectable Hořava-Lifshitz gravity, is considered.
Journal ArticleDOI
Disformal transformation of cosmological perturbations
TL;DR: In this article, the curvature perturbation in the comoving gauge to the scalar field is shown to be disformally invariant as well as conformally invarient.
Journal ArticleDOI
Large-scale structure phenomenology of viable Horndeski theories
Simone Peirone,Kazuya Koyama,Levon Pogosian,Levon Pogosian,Marco Raveri,Alessandra Silvestri +5 more
TL;DR: In this article, the authors studied the properties of π and π-Sigma functions in Horndeski theories with second order equations of motion and showed that they can be used to parameterize modifications of the growth of large-scale structure in alternative theories of gravity.
Journal ArticleDOI
Generalized multi-Proca fields
TL;DR: In this article, the authors extend previous results on healthy derivative self-interactions for a Proca field to the case of a set of massive vector fields and obtain non-gauge invariant derivative self interactions for the vector fields that maintain the appropriate number of propagating degrees of freedom.
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