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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No static spherically symmetric wormholes in Horndeski theory
O. A. Evseev,O. I. Melichev +1 more
TL;DR: In this paper, it was shown that the Horndeski theory does not admit stable, static, spherically symmetric, asymptotically flat, Lorentzian wormholes.
Journal ArticleDOI
Minimally modified gravity with an auxiliary constraint: A Hamiltonian construction
TL;DR: In this paper, a general Hamiltonian for the spacetime metric with the $3+1$ decomposition and keeping only the spatial covariance is considered, and the possibility of reducing the number of degrees of freedom by introducing an auxiliary constraint is investigated.
Journal ArticleDOI
Bounce and cyclic cosmology in weakly broken Galileon theories
TL;DR: In this paper, the authors investigate the bounce and cyclicity realization in the framework of weakly broken Galileon theories, reconstructing the potential and the Galileon functions that can give rise to a given scale factor and presenting analytical expressions for the bounce requirements.
Journal ArticleDOI
Gravitational Wave Implications for the Parity Symmetry of Gravity in the High Energy Region
Journal ArticleDOI
Generalized Proca & its constraint algebra
TL;DR: In this paper, the authors consider the construction of derivative self-interactions for a massive Proca field, where the vector field propagates at most three degrees of freedom, thus avoiding the ghostly nature of a fourth polarisation.
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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