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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Journal ArticleDOI
Higher derivative mimetic gravity
TL;DR: In this paper, the authors study cosmological perturbations in mimetic gravity in the presence of classified higher derivative terms which can make the mimetic perturbation stable.
Journal ArticleDOI
Extended Scalar-Tensor Theories of Gravity
TL;DR: In this article, the authors study new consistent scalar-tensor theories of gravity with potentially interesting cosmological applications and derive the conditions for the existence of a primary constraint that prevents the propagation of an additional dangerous mode associated with higher order equations of motion.
Journal ArticleDOI
Strong field gravitational lensing by a charged Galileon black hole
Shan Shan Zhao,Yi Xie +1 more
TL;DR: In this article, the angular separations and time delays between different relativistic images of the charged Galileon black hole were calculated and the magnitudes of these observables were estimated for the closest supermassive black hole Sgr A*.
Journal ArticleDOI
Screening the fifth force in the Horndeski's most general scalar-tensor theories
Ryotaro Kase,Shinji Tsujikawa +1 more
TL;DR: In this article, the Vainshtein mechanism was studied in the presence of a field coupling to the Ricci scalar, and conditions under which the mechanism is at work in a weak gravitational background.
Journal ArticleDOI
A covariant Lagrangian for stable nonsingular bounce
Yong Cai,Yun-Song Piao +1 more
TL;DR: In this article, a covariant effective theory for stable nonsingular bounce was proposed, which has the quadratic order of the second order derivative of the field φ but the background set only by φ,X.
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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