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
Black hole solutions in shift-symmetric degenerate higher-order scalar-tensor theories
Masato Minamitsuji,James Edholm +1 more
TL;DR: In this paper, it was shown that most classes of shift-symmetric degenerate higher-order scalar-tensor theories which satisfy certain degeneracy conditions are not compatible with the conditions for the existence of exact black hole solutions with a linearly time-dependent scalar field whose canonical kinetic term takes a constant value.
Journal ArticleDOI
Model-independent reconstruction of the linear anisotropic stress $\eta$
TL;DR: In this article, a model-independent linear anisotropic stress estimator for the Hubble expansion rate is presented. But the estimator is free of assumptions about initial conditions, bias, the abundance of dark matter and the background expansion.
Journal ArticleDOI
Gravity, scale invariance and the hierarchy problem
TL;DR: In this paper, it was shown that the hierarchy between the weak and the Planck scales can be generated by a non-perturbative effect relating the low energy and Planck-scale physics.
Journal ArticleDOI
Polar quasinormal modes of the scalarized Einstein-Gauss-Bonnet black holes
Jose Luis Blázquez-Salcedo,Daniela D. Doneva,Daniela D. Doneva,Sarah Kahlen,Jutta Kunz,Petya Nedkova,Petya Nedkova,Stoytcho S. Yazadjiev,Stoytcho S. Yazadjiev,Stoytcho S. Yazadjiev +9 more
TL;DR: In this paper, the polar quasinormal modes of spontaneously scalarized black holes in the Gauss-Bonnet theory were studied and shown to be stable under both radial and axial perturbations.
Proceedings ArticleDOI
Hairy black holes in the XX-th and XXI-st centuries
TL;DR: A brief summary of the most important hairy black hole solutions in 3+1 spacetime dimensions discovered over the last 25 years can be found in this article, where the authors describe the Higgs field, the dilaton and the curvature corrections of the Skyrme black hole.
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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