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
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Solar system constraints on disformal gravity theories
TL;DR: In this article, the authors derive the solution for a static isolated mass in generic disformal gravity theories and transform it into the parameterised post-Newtonian form, and derive the constraints placed on such theories by local tests of gravity.
Journal ArticleDOI
Consistent perturbations in an imperfect fluid
TL;DR: In this article, the authors present a new prescription for analysing cosmological perturbations in a more general class of scalar-field dark-energy models where the energy-momentum tensor has an imperfect-fluid form.
Journal ArticleDOI
Dark energy in Horndeski theories after GW170817: A review
Ryotaro Kase,Shinji Tsujikawa +1 more
TL;DR: In this paper, the authors provide a gauge-ready formulation of scalar perturbations in full Horndeski theories and estimate observables associated with the evolution of large-scale structures, cosmic microwave background and weak lensing by employing a so-called quasi-static approximation for the modes deep inside the sound horizon.
Journal ArticleDOI
Modified gravity inside astrophysical bodies
TL;DR: In this article, the impact of modified gravity on the density profile of a spherically symmetric matter distribution, in the non-relativistic limit, was studied.
Posted Content
Teleparallel Gravity: From Theory to Cosmology
Jackson Levi Said,Sebastian Bahamonde,Konstantinos F. Dialektopoulos,Celia Escamilla-Rivera,Gabriel Farrugia,Viktor Gakis,Martin Hendry,Manuel Hohmann,Jackson Levi Said,Jurgen Mifsud,Eleonora Di Valentino +10 more
TL;DR: In this article, a review of the teleparallel gravity literature is presented, focusing on the open questions in this regime of physics, and the cosmological consequences for the various formulations of the proposed theories.
References
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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.
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