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
Constraints on massive vector dark energy models from integrated Sachs-Wolfe-galaxy cross-correlations
TL;DR: In this paper, the authors place observational constraints on a dark energy model in cubic-order generalized Proca theories with intrinsic vector modes by running the Markov chain Monte Carlo (MCMC) code.
Journal ArticleDOI
Rotating Gauss-Bonnet BTZ Black Holes
TL;DR: In this paper, the authors obtained rotating black hole solutions to the 3D Gauss-Bonnet theory of gravity, which generalize the BTZ metric and are not of constant curvature.
Journal ArticleDOI
Superradiant instabilities in scalar-tensor Horndeski theory
TL;DR: In this article, the superradiance effect in a class of scalar-tensor Horndeski theory was studied and it was shown that a trapping potential is formed outside the horizon of a Reissner-Nordstrom black hole, due to this coupling.
Journal ArticleDOI
CLASH-VLT: constraints on f(R) gravity models with galaxy clusters using lensing and kinematic analyses
L. Pizzuti,Barbara Sartoris,Barbara Sartoris,Luca Amendola,Stefano Borgani,Stefano Borgani,Andrea Biviano,Keiichi Umetsu,Amata Mercurio,Piero Rosati,Italo Balestra,G. B. Caminha,Marisa Girardi,Marisa Girardi,Claudio Grillo,Claudio Grillo,Mario Nonino +16 more
TL;DR: In this article, a maximum likelihood kinematic analysis of the two dynamically relaxed galaxy clusters MACS J1206.2-0847 at z=0.44 and RXC J2248.7-4431 at z =0.71 was performed to determine the total mass profile in modified gravity models.
Journal ArticleDOI
Black holes in a cubic Galileon universe
TL;DR: In this article, the authors studied the properties of black hole solutions for a subclass of Horndeski theory including the cubic Galileon term, and gave analytic 3D solutions that are akin to the BTZ solutions but with a non-trivial scalar field that modifies the effective cosmological constant.
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