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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Forecasts for low spin black hole spectroscopy in Horndeski gravity
TL;DR: In this paper, the authors investigate the possibility of using black hole spectroscopy to constrain the parameters of Horndeski gravity through observations of gravitational waves from perturbed black holes.
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Stealth magnetic field in de Sitter spacetime
TL;DR: In this article, a cosmological attractor solution that represents a de Sitter universe with a homogeneous magnetic field is presented. But the solution does not take into account backreaction of the magnetic field to the geometry and the scalar field.
Journal ArticleDOI
Convolution Lagrangian perturbation theory for biased tracers beyond general relativity
Georgios Valogiannis,Rachel Bean +1 more
TL;DR: In this paper, the authors compare analytic predictions for real and Fourier space two-point statistics for biased tracers from a variety of Lagrangian Perturbation Theory approaches against those from state of the art N-body simulations in $f(R)$ Hu-Sawicki and the nDGP braneworld modified gravity theories.
Journal ArticleDOI
The one-loop matter bispectrum as a probe of gravity and dark energy
Benjamin Bose,Atsushi Taruya +1 more
TL;DR: In this paper, the authors present a framework to numerically calculate the one-loop matter bispectrum based on standard perturbation theory (SPT), which allows general modifications to the standard $\Lambda$CDM model to be easily implemented.
Journal ArticleDOI
Theoretical and observational constraints on regularized 4D Einstein-Gauss-Bonnet gravity
TL;DR: In this paper, the authors make a detailed analysis on possible constraints of the model parameters of the regularized Einstein-Gauss-Bonnet theory of gravity in four dimensions from recent cosmological observations and some theoretical constraints, as well.
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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