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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A systematic procedure to build the beyond generalized Proca field theory
TL;DR: In this paper, the authors proposed a systematic procedure to build the beyond generalized theory for a Proca field in four dimensions containing only the field itself and its first-order derivatives, and examined the validity of their procedure at the fourth level of the generalized Proca theory.
Journal ArticleDOI
Sound Speed Resonance of the Stochastic Gravitational-Wave Background.
TL;DR: A novel mechanism to test time variation of the propagation speed of gravitational waves (GWs) in light ofGWs astronomy reveals that probing the variation of GWs speed can be a promising way to search for new physics beyond general relativity.
Journal ArticleDOI
Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
Davood Momeni,Ratbay Myrzakulov +1 more
TL;DR: In this paper, the authors derived the modified forms of Tolman-Oppenheimer-Volkoff (TOV) equations for a generic function of $f(G)$ gravity.
Journal ArticleDOI
Cosmology with nonminimal kinetic coupling and a Higgs-like potential
Jiro Matsumoto,Sergey V. Sushkov +1 more
TL;DR: In this article, the authors consider cosmological dynamics in the theory of gravity with the scalar field possessing the nonminimal kinetic coupling to curvature given as κGμν,μ,ν, and the Higgs-like potential.
Journal ArticleDOI
Measuring gravity at cosmological scales
TL;DR: In this paper, a pedagogical introduction to models of gravity and how they are constrained through cosmological observations is presented. But the authors focus on the Horndeski scalar-tensor theory and on quantities that can be measured with a minimum of assumptions.
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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