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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Non-minimal derivative couplings of the composite metric
TL;DR: In this paper, the authors consider non-minimal derivative couplings of the composite metric to matter elds for a specic subclass of Horndeski scalar tensor interactions, and explore these couplings in the mini-superspace and investigate in which scenario the ghost remains absent.
Journal ArticleDOI
Reconstructing a $f(R)$ theory from the $\alpha$-Attractors
TL;DR: In this article, an analogy at high curvature between a $f(R) = R + aR^{n - 1} + bR^2$ theory and the $\alpha$-Attractors was made.
Journal ArticleDOI
Dynamics of a two scalar field cosmological model with phantom terms
TL;DR: In this article, a detailed analysis on the dynamics of a Chiral-like cosmological model where the scalar fields can have negative kinetic terms was performed, and the asymptotic dynamics for the gravitational field equations for four different models in a spatially flat Friedmann--Lema\^itre--Robertson--Walker background space.
Journal ArticleDOI
Black holes in quartic-order beyond-generalized Proca theories
TL;DR: In this paper, it was shown that the acceleration of a black hole in the vicinity of static and spherically symmetric black holes is also equivalent to the propagation of odd-parity perturbations along both radial and angular directions.
Journal ArticleDOI
Disformal invariance of curvature perturbation
TL;DR: In this article, it was shown that the linear comoving curvature perturbation is not identically invariant, but is invariant on super-horizon scales for any theory that is disformally related to Horndeski's theory.
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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