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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Two-field disformal transformation and mimetic cosmology
TL;DR: In this article, the authors decompose the perturbations into the adiabatic and entropy modes, and show that the entropy mode propagates with sound speed equal to unity with no instabilities.
Journal ArticleDOI
More about wormholes in generalized Galileon theories
TL;DR: In this paper, a class of generalized Galileon theories within general relativity in space-times with more than two spatial dimensions are considered and it is shown that these theories do not admit stable, static, spherically symmetric, asymptotically flat Lorentzian wormholes.
Journal ArticleDOI
Non-minimally coupled dark matter: effective pressure and structure formation
TL;DR: In this paper, a non-minimal coupling between gravity and dark matter is proposed to address some of the apparent small scales issues of the ΛCDM model, where gravity dynamics is given by the standard Einstein-Hilbert action.
Journal ArticleDOI
Strong cosmic censorship in Horndeski theory
Kyriakos Destounis,Rodrigo Dal Bosco Fontana,Filipe C. Mena,Filipe C. Mena,Eleftherios Papantonopoulos +4 more
TL;DR: In this article, a scalar field perturbation non-minimally coupled to the Einstein tensor propagating on Reissner-Nordstrom-de Sitter spacetimes was used to test the strong cosmic censorship hypothesis.
Journal ArticleDOI
Interacting spin-2 fields in the Stückelberg picture
TL;DR: In this paper, the effective field theory for massive gravitons was revisited and extended in the light of recent progress in constructing ghost-free theories with multiple interacting spin-2 fields.
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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