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
Growth of massive scalar hair around a Schwarzschild black hole
TL;DR: In this paper, it was shown that it is possible to grow hair on a Schwarzschild black hole if one assumes an initial periodically time-varying but spatially homogeneous scalar background.
Journal ArticleDOI
Screening fifth forces in k-essence and DBI models
TL;DR: In this paper, it has been shown that a Vainshtein-like screening mechanism exists for non-linear scalar fields with k-essence models, such as the chameleon model, but with limited applicability.
Journal ArticleDOI
Probing non-standard gravity with the growth index: a background independent analysis
TL;DR: In this paper, it was shown that the information encoded in this function can be satisfactorily parameterized using a small set of coefficients γ{sub i, in such a way that the true scaling of the growth index is recovered to better than 1% in most dark energy and dark gravity models.
Journal ArticleDOI
Cosmological solutions in multiscalar field theory
TL;DR: In this article, the authors consider a cosmological model with two scalar fields minimally coupled to gravity which have a mixed kinetic term and derive the necessary conditions that connect these two functions so that the relative cosmology solutions can be admitted.
Journal ArticleDOI
Exact solutions in Chiral cosmology
TL;DR: In this paper, the exact analytic solutions for a system of N-scalar fields are presented for a specific geometry in the kinetic part of the scalar fields and specific potential form.
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