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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Constraints on deviations from ${\Lambda}$CDM within Horndeski gravity
TL;DR: In this paper, the authors consider deviations from Lambda$CDM+GR within the context of Horndeski gravity, which is the most general theory of gravity with second derivatives in the equations of motion.
Journal ArticleDOI
Quasinormal modes of black holes in Horndeski gravity
TL;DR: In this article, the perturbations to general relativistic black holes (i.e., those without scalar hair) in Horndeski scalar-tensor gravity were studied.
Journal ArticleDOI
Halo model and halo properties in Galileon gravity cosmologies
Alexandre Barreira,Baojiu Li,Wojciech A. Hellwing,Wojciech A. Hellwing,Lucas Lombriser,Carlton M. Baugh,Silvia Pascoli +6 more
TL;DR: In this paper, the authors investigate the performance of semi-analytical modelling of large-scale structure in Galileon gravity cosmologies using results from N-body simulations and demonstrate that the Sheth-Tormen mass function and linear halo bias can be calibrated to provide a very good fit to their simulation results.
Journal ArticleDOI
Generalized instantaneous modes in higher-order scalar-tensor theories
Antonio De Felice,David Langlois,Shinji Mukohyama,Shinji Mukohyama,Shinji Mukohyama,Karim Noui,Karim Noui,Anzhong Wang,Anzhong Wang +8 more
TL;DR: In this paper, higher-order, scalar-tensor theories which appear degenerate when restricted to the unitary gauge but are not degenerate in an arbitrary gauge were considered.
Journal ArticleDOI
Cosmological bounce and Genesis beyond Horndeski
TL;DR: In this article, the authors study "classical" bouncing and Genesis models in beyond Horndeski theory and give an example of spatially flat bouncing solution that is non-singular and stable throughout the whole evolution.
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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