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Scalar-tensor theories are a compelling alternative to general relativity and one of the most accepted extensions of Einstein's theory. Black holes in these theories have no hair, but could grow "wigs" supported by time-dependent boundary…

General Relativity and Quantum Cosmology · Physics 2013-06-26 Emanuele Berti , Vitor Cardoso , Leonardo Gualtieri , Michael Horbatsch , Ulrich Sperhake

We study disformal transformations of the metric in the cosmological context. We first consider the disformal transformation generated by a scalar field $\phi$ and show that the curvature and tensor perturbations on the uniform $\phi$…

General Relativity and Quantum Cosmology · Physics 2015-09-02 Yuki Watanabe , Atsushi Naruko , Misao Sasaki

In certain extensions of General Relativity, wormholes generated by spherically symmetric electric fields can resolve black hole singularities without necessarily removing curvature divergences. This is shown by studying geodesic…

High Energy Physics - Theory · Physics 2016-04-20 Gonzalo J. Olmo , D. Rubiera-Garcia , A. Sanchez-Puente

Recent numerical simulations have found that the Cauchy horizon inside spherical charged black holes, when perturbed nonlinearly by a self-gravitating, minimally-coupled, massless, spherically-symmetric scalar field, turns into a null weak…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko

We discuss spherically symmetric black holes in the modified self-dual theory of gravity recently studied by Krasnov, obtained adding a Weyl-curvature dependent `cosmological term' to the Plebanski lagrangian for general relativity. This…

General Relativity and Quantum Cosmology · Physics 2009-08-12 Akihiro Ishibashi , Simone Speziale

We show that under a general disformal transformation the linear comoving curvature perturbation is not identically invariant, but is invariant on superhorizon scales for any theory that is disformally related to Horndeski's theory. The…

General Relativity and Quantum Cosmology · Physics 2016-03-11 Hayato Motohashi , Jonathan White

We apply a recently developed 2+1+1 decomposition of spacetime, based on a nonorthogonal double foliation for the study of spherically symmetric, static black hole solutions of Horndeski scalar-tensor theory. Our discussion proceeds in an…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Cecília Nagy , Zoltán Keresztes , László Á. Gergely

We consider static spherically symmetric solutions of a general scalar field theory with non-standard kinetic energy coupled to gravity with a view to explain dark matter halos as a coherent state of the scalar field. Consistent solutions…

High Energy Physics - Theory · Physics 2008-06-04 Ratindranath Akhoury , Christopher S. Gauthier

We review some properties of black hole structures appearing in gravity with a massless scalar field, with both minimal and nonminimal coupling. The main properties of the resulting cold black holes are described. The study of black holes…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Kirill A. Bronnikov , Júlio C. Fabris , Denis C. Rodrigues

We construct a scalar polynomial curvature invariant that transforms covariantly under a conformal transformation from any spherically symmetric metric. This invariant has the additional property that it vanishes on the event horizon of any…

General Relativity and Quantum Cosmology · Physics 2017-04-26 David D. McNutt , Don N. Page

We investigate stationary rotationally symmetric solutions of a particular truncation of Horndeski theory in three dimensions, including a non-minimal scalar kinetic coupling to the curvature. After discussing the special case of a…

General Relativity and Quantum Cosmology · Physics 2018-08-28 Gérard Clément , Khireddine Nouicer

The Horndeski action is the most general one involving a metric and a scalar field that leads to second order field equations in four dimensions. Being the natural extension of the well known Scalar-Tensor theories, its structure and…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Dario Bettoni , Stefano Liberati

Recently it was pointed out that in shift-symmetric scalar-tensor theories a black hole can have nontrivial scalar hair which depends linearly on time. We develop black hole perturbation theory for such solutions and compute the quadratic…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Hiromu Ogawa , Tsutomu Kobayashi , Teruaki Suyama

Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild black hole solutions exhibiting time-dependent scalar hair. By making use of Lema\^{i}tre coordinates, we analyze perturbations around these types of black…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-09 Justin Khoury , Mark Trodden , Sam S. C. Wong

We show that Weyl-invariant dilaton gravity provides a description of black holes without classical spacetime singularities. Singularities appear due to ill-behaviour of gauge fixing conditions, one example being the gauge in which theory…

High Energy Physics - Theory · Physics 2016-11-15 Predrag Dominis Prester

We study spherical charged black holes in the presence of a cosmological constant with corrections motivated by the theory of loop quantum gravity. The effective theory is constructed at the Hamiltonian level by introducing certain…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Asier Alonso-Bardaji , David Brizuela , Raül Vera

Electro-vacuum black holes are scale-invariant; their energy-momentum tensor is traceless. Quantum corrections of various sorts, however, can often produce a trace anomaly and a breakdown of scale-invariance. The (quantum-corrected) black…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Carlos A. R. Herdeiro , Eugen Radu

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

We analyse in all generality beyond Horndeski theories of shift symmetry in a static and spherically symmetric spacetime. By introducing four auxiliary functions, we write the field equations in a particularly compact form. We show that…

General Relativity and Quantum Cosmology · Physics 2022-08-11 Athanasios Bakopoulos , Christos Charmousis , Panagiota Kanti , Nicolas Lecoeur

Disformal transformation provides a map relating different scalar-tensor and vector-tensor theories and gives access to a powerful solution-generating method in modified gravity. In view of the vast family of new solutions one can achieve,…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Jibril Ben Achour , Antonio De Felice , Mohammad Ali Gorji , Shinji Mukohyama , Masroor C. Pookkillath