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Modifications of Einstein's Theory of Gravity at Large Distances

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TLDR
In this paper, the Horndeski and the Galileon Theories are combined with the Vainshtein Mechanism and the Chern-Simons Theories for a modified version of General Scalar Tensor Theories.
Abstract
Part I Modification of GR: General Scalar-Tensor Theories.- Gravity and Scalar Fields.- Cosmological Perturbations in the Most General Scalar-Tensor Theories l- Introduction to the Horndeski and the Galileon Theories.- Horndeski Theory and Cosmological Constant.- Part II Massive Gravity.- Introduction to Massive Gravity.- New Massive Gravity.- Topologically Massive Gravity.- Introduction to the Vainshtein Mechanism.- Black Hole Solutions in Massive Gravity.- Cosmological Applications of Massive Gravity.- Part III Other Modifications.- High Curvature Gravity Theories.- Higher Spin Theories.- Higher Spin Black Holes.- Introduction to Chern-Simons Theories.- Holographic Chern-Simons Theories.- Beyond Supergravity in AdS/CFT.- Holographic Perfect Fluidity, TMG and Gravitational Duality.- Patr IV Overview.- Modified Gravity: an Overview.

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Journal ArticleDOI

Spontaneous Scalarization of Black Holes and Compact Stars from a Gauss-Bonnet Coupling

TL;DR: A class of scalar-tensor theories with coupling between the scalar and the Gauss-Bonnet invariant that exhibit spontaneous scalarization for both black holes and compact stars are identified.
Journal ArticleDOI

Black-hole solutions with scalar hair in Einstein-scalar-Gauss-Bonnet theories

TL;DR: In this paper, the existence of regular black-hole solutions with scalar hair was investigated in the context of the Einstein-scalar-Gauss-Bonnet theory, with a general coupling function between the scalar field and the quadratic Gauss Bonnet term.
Journal ArticleDOI

Black holes and binary mergers in scalar Gauss-Bonnet gravity: scalar field dynamics

TL;DR: In this paper, the scalar hair is due to a linear or exponential coupling between a scalar and the Gauss-Bonnet invariant, and perturbatively in the coupling constant of that interaction but nonperturbative in the fields.
Journal ArticleDOI

Stability of scalarized black hole solutions in scalar-Gauss-Bonnet gravity

TL;DR: In this paper, a radial stability investigation revealed that all scalarized black hole solutions are unstable when the coupling between the scalar field and the Gauss-Bonnet invariant is quadratic in the scalars, whereas stable solutions exist for exponential couplings.
Journal ArticleDOI

Self-interactions and Spontaneous Black Hole Scalarization

TL;DR: In this article, it was shown that the quartic self-coupling is sufficient to produce scalarized solutions that are stable against radial perturbations, without the need to resort to higher-order terms in the Gauss-Bonnet coupling function.
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