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
Relativistic stars in scalar-tensor theories with disformal coupling
TL;DR: In this paper, a general model of a massless scalar-tensor theory with disformal coupling to matter is proposed to analyze the structure of slowly rotating relativistic stars.
Journal ArticleDOI
Nonminimal derivative coupling scalar-tensor theories: Odd-parity perturbations and black hole stability
TL;DR: In this article, the authors derived the odd parity perturbation equation in scalar-tensor theories with a non minimal kinetic coupling sector of the general Horndeski theory, where the kinetic term is coupled to the metric and the Einstein tensor.
Journal ArticleDOI
Disformal Theories of Gravity: From the Solar System to Cosmology
Jeremy Sakstein,Jeremy Sakstein +1 more
TL;DR: In this paper, it was shown that no new non-linear screening mechanisms are present beyond the Vainshtein mechanism and chameleon-like screening. But this is not competitive with laboratory tests and the future prospects for testing these theories and the implications for other theories of modified gravity.
Journal ArticleDOI
Stealth Schwarzschild solution in shift symmetry breaking theories
TL;DR: In this paper, the authors derived sufficient conditions for the shift symmetry breaking theory to allow a general Ricci-flat metric solution with a nontrivial scalar field profile, which is a subclass of the Horndeski theory breaking shift symmetry, where the propagation speed of gravitational waves coincides with the speed of light.
Journal ArticleDOI
Microscopic structures and thermal stability of black holes conformally coupled to scalar fields in five dimensions
Yan-Gang Miao,Zhen-Ming Xu +1 more
TL;DR: In this paper, the microscopic character of a hairy black hole of Einstein's theory conformally coupled to a scalar field in five dimensions by means of the Ruppeiner thermodynamic geometry is explored.
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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