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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Gravitational Waves and Extra Dimensions: A Short Review
Hao Yu,Zi-Chao Lin,Yu-Xiao Liu +2 more
TL;DR: In this article, a brief review on the recent development of gravitational waves in extra-dimensional theories of gravity is given, where it is shown that one can impose limits on the size of extra dimensions and the curvature of the universe by researching the propagations of gravitational wave and the corresponding electromagnetic waves.
Journal ArticleDOI
Dark Energy in light of Multi-Messenger Gravitational-Wave astronomy
TL;DR: Gravitational waves (GWs) provide a new tool to probe the nature of dark energy (DE) and the fundamental properties of gravity as mentioned in this paper, which can be used to test gravity and models for late-time cosmic acceleration.
Journal ArticleDOI
Kinetic screening in nonlinear stellar oscillations and gravitational collapse
TL;DR: In this article, Cayuso et al. considered a scalar-tensor theory with first-order derivative self-interactions that can screen local scales from scalar fifth forces, while allowing for sizeable deviations from general relativity on cosmological scales.
Journal ArticleDOI
Learning How to Surf: Reconstructing the Propagation and Origin of Gravitational Waves with Gaussian Processes
TL;DR: In this paper, the authors used machine learning techniques to reconstruct new physics by leveraging the spatial correlation between GW mergers and galaxies and explored the possibility of jointly reconstructing the modified GW propagation law and the linear bias of GW sources, as well as breaking the slight degeneracy between them.
Journal ArticleDOI
Cosmology in doubly coupled massive gravity: Constraints from SNIa, BAO and CMB
TL;DR: In this article, the authors performed a first analysis of the constraints imposed by the SNIa, BAO and CMB data on the massive gravity model with the effective composite metric and showed that all the background observations are mutually compatible at the one sigma level with the model.
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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