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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.

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Dynamical analysis of generalized Galileon cosmology

TL;DR: In this paper, a detailed dynamical analysis of generalized Galileon cosmology, incorporating also the requirements of ghost and instabilities absence, was performed, and it was shown that there are not any new stable late-time solutions apart from those of standard quintessence.
Journal ArticleDOI

Parity-violating gravity and GW170817

TL;DR: In this article, the authors consider the implications of observational constraints from GW170817/GRB 170817A on the propagation speed of GWs in generic parity-violating gravity, including recently proposed ghost-free theories with parity violation as well as Chern-Simons (CS) modified gravity.
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Effective field theory approach to modified gravity including Horndeski theory and Ho\v{r}ava-Lifshitz gravity

TL;DR: In this article, the effective field theory of modified gravity in which the Lagrangian involves three dimensional geometric quantities appearing in the 3+1 decomposition of space-time is reviewed.
Journal ArticleDOI

Well-posed formulation of Lovelock and Horndeski theories

TL;DR: In this paper, the initial value problem for Lovelock and Horndeski theories of gravity was studied and it was shown that the equations of motion of these theories can be written in a form that, at weak coupling, is strongly hyperbolic and therefore admits a well-posed initial value problems.
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New horizons for fundamental physics with LISA

K. G. Arun, +140 more
TL;DR: In this article , the Fundamental Physics Working Group of the LISA Consortium summarizes the current topics in fundamental physics where LISA observations of gravitational waves can be expected to provide key input.
References
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Journal ArticleDOI

Mach's principle and a relativistic theory of gravitation

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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