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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Testing Gravity Using Galaxy Clusters: New Constraints on Beyond Horndeski Theories
TL;DR: In this paper, a multi-parameter Markov chain Monte Carlo analysis was performed on the stacked profiles of 58 high-redshift galaxy clusters using X-ray surface brightness profiles from the XMM Cluster Survey and weak lensing profiles from CFHTLenS.
Journal ArticleDOI
Cascading dust inflation in Born-Infeld gravity
Jose Beltrán Jiménez,Jose Beltrán Jiménez,Lavinia Heisenberg,Gonzalo J. Olmo,Gonzalo J. Olmo,Christophe Ringeval +5 more
TL;DR: In this article, the authors discuss the viability of cosmic inflation without scalar fields and show that the tensor-to-scalar ratio is always vanishing, independently of the energy scale of inflation.
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Radiative stability and observational constraints on dark energy and modified gravity
Johannes Noller,Andrina Nicola +1 more
TL;DR: In this article, the authors investigate the radiative stability of Horndeski scalar-tensor theories with luminally propagating gravitational waves and show that in general there is a tension between obtaining observable deviations from general relativity (GR) in cosmology and the requirement of radiative stabilisation.
Journal ArticleDOI
Diagnostic of Horndeski Theories
TL;DR: In this paper, the effects of Horndeski models of dark energy on the observables of the large-scale structure in the late time universe have been studied, and a novel classification into late dark energy, early dark energy and modified gravity has been proposed.
Journal ArticleDOI
Comparison of different approaches to the quasi-static approximation in Horndeski models
Francesco Pace,Richard A. Battye,Emilio Bellini,Lucas Lombriser,Filippo Vernizzi,Boris Bolliet +5 more
TL;DR: In this paper, three different analytical formulations based on applying this approximation to: (1) the field equations; (2) the equations for the two metric potentials; (3) the use of the attractor solution derived within the Equation of State (EoS) approach.
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.
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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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