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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Probing the imprints of generalized interacting dark energy on the growth of perturbations
TL;DR: In this article, the authors study the evolution and distinct signatures of cosmological models, in which dark energy interacts directly with dark matter, and find that a disformal coupling between dark matter and dark energy induces intermediate-scales and time-dependent damped oscillatory features in the matter growth rate function, a unique characteristic of this coupling.
Journal ArticleDOI
Constraints on Horndeski theory using the observations of Nordtvedt effect, Shapiro time delay and binary pulsars
Shaoqi Hou,Yungui Gong +1 more
TL;DR: In this article, the Nordtvedt effect and the Shapiro time delay are calculated in order to constrain Horndeski theory using the observations of lunar laser ranging experiments and Cassini time-delay data.
Journal ArticleDOI
The most general second-order field equations of bi-scalar-tensor theory in four dimensions
TL;DR: In this article, the authors explore the bi-scalar extension of the Horndeski theory and determine all the possible terms appearing in the second-order field equations of the Bi-Scalar-Tensor theory.
Journal ArticleDOI
Transformation properties and general relativity regime in scalar-tensor theories
TL;DR: In this article, first generation scalar-tensor theories of gravitation are considered in a completely generic form, keeping the transformation functions of the local rescaling of the metric and the scalar field redefinition explicitly distinct from the coupling functions in the action.
Journal ArticleDOI
Proca in the sky
TL;DR: In this paper, a cubic vector Galileon model is proposed to solve the problem of the $H_0$ tension in cosmology, which is caused by the mismatch between the early and late-universe measurements of the Hubble constant.
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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