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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Journal ArticleDOI
Bounce beyond Horndeski with GR asymptotics and $\gamma$-crossing
TL;DR: In this paper, a spatially flat, stable bouncing universe solution whose asymptotic past and future are described by General Relativity (GR) with conventional massless scalar field is constructed.
Journal ArticleDOI
Space-time slicing in Horndeski theories and its implications for non-singular bouncing solutions
TL;DR: In this article, the stability of non-singular cosmological bounce solutions based on Horndeski theories is analyzed for all modes with wavelengths above the Planck scale, where the solution involves a stage of null-energy condition violation during which gravity is described by a modification of Einstein's general relativity.
Journal ArticleDOI
Constraining the ΛCDM and Galileon models with recent cosmological data
J. Neveu,J. Neveu,V. Ruhlmann-Kleider,Pierre Astier,M. Besançon,Julien Guy,Anais Möller,E. Babichev +7 more
TL;DR: In this article, the authors used updated cosmological data sets to derive new constraints on the Galileon model, including the case of a constant conformal Galileon coupling to matter.
Journal ArticleDOI
Anisotropic tensor power spectrum at interferometer scales induced by tensor squeezed non-Gaussianity
TL;DR: In this article, a scenario of inflation with spontaneously broken time and space diffeomorphisms, with distinctive features for the primordial tensor modes, was developed, and the inflationary system can be tested with interferometers, also discussing how an interferometer can be sensitive to a primordial anisotropic SGWB.
Journal ArticleDOI
Cosmological bounce and Genesis beyond Horndeski
TL;DR: In this article, a "classical" bouncing scenario in beyond Horndeski theory is studied, and an example of spatially flat bouncing solution that is non-singular and stable throughout the whole evolution is given.
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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