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We study scalar fields in a black hole background and show that, when the scalar is suitably coupled to curvature, rapid rotation can induce a tachyonic instability. This instability, which is the hallmark of spontaneous scalarization in…

General Relativity and Quantum Cosmology · Physics 2020-12-07 Alexandru Dima , Enrico Barausse , Nicola Franchini , Thomas P. Sotiriou

We examine the interactions of a black hole with a massless scalar field using a coordinate system which extends ingoing Eddington-Finkelstein coordinates to dynamic spherically symmetric-spacetimes. We avoid problems with the singularity…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Robert L. Marsa , Matthew W. Choptuik

The inclusion of the quantum fluctuations of the metric in the geometric action is a promising avenue for the understanding of the quantum properties of gravity. In this approach the metric is decomposed in the sum of a classical and of a…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Jin-Zhao Yang , Shahab Shahidi , Tiberiu Harko , Shi-Dong Liang

In this paper two things are done. First, it is pointed out the existence of exact asymptotically flat, spherically symmetric black holes when a self interacting, minimally coupled scalar field is the source of the energy momentum of the…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Andres Anabalon , Julio Oliva

We investigate static and spherically symmetric solutions in a gravity theory that extends the standard Hilbert-Einstein action with a Lagrangian constructed from a three-form field $A_{\alpha \beta \gamma}$, which is related to the field…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Bruno J. Barros , Bogdan Dǎnilǎ , Tiberiu Harko , Francisco S. N. Lobo

In theories with derivative (self-)interactions, the propagation of perturbations on nontrivial field configurations is determined by effective metrics. Generalized scalar-tensor theories belong in this class and this implies that the…

General Relativity and Quantum Cosmology · Physics 2018-09-07 Robert Benkel , Nicola Franchini , Mehdi Saravani , Thomas P. Sotiriou

Deformed Reissner-Nordstr\"om, as well as Reissner-Nordstr\"om de Sitter, solutions are obtained in a noncommutative gauge theory of gravitation. The gauge potentials (tetrad fields) and the components of deformed metric are calculated to…

High Energy Physics - Theory · Physics 2008-11-26 M. Chaichian , M. R. Setare , A. Tureanu , G. Zet

It is widely believed that classical gravity breaks down and quantum gravity is needed to deal with a singularity. We show that there is a class of spacetime curvature singularities which can be resolved with metric and matter field…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Atsushi Naruko , Chul-Moon Yoo , Misao Sasaki

General Relativity allows for a unique black hole solution, characterized by its mass M, angular momentum J, and electric charge Q. Black holes in General Relativity are thus said to have no hair, that is, no other independent physical…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Nicolas Lecoeur

In the present work, it is shown that an asymptotically flat spherical black hole can have a nontrivial signature of any field for an exterior observer if the energy momentum tensor of the corresponding field is either tracefree or if the…

General Relativity and Quantum Cosmology · Physics 2013-07-08 Narayan Banerjee , Somasri Sen

A linear coupling between a scalar field and the Gauss-Bonnet invariant is the only known interaction term between a scalar and the metric that: respects shift symmetry; does not lead to higher order equations; inevitably introduces black…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Robert Benkel , Thomas P. Sotiriou , Helvi Witek

We study the charged black hole solutions of a 2+1 nonlinear electrodynamical theory with cosmological constant. Considered as a one-parameter group of theories (the exponent of the squared Maxwell tensor) the causal structure of all…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Rodrigo Dal Bosco Fontana

We explore purely metric theories of gravity with second-order equations of motion and a single additional, purely gravitational, propagating, scalar degree of freedom. We identify a subclass of these theories in which this scalar causes a…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Astrid Eichhorn , Pedro G. S. Fernandes

A disformal rotating black-hole solution is a black-hole solution in quadratic degenerate higher-order scalar-tensor theories. It breaks the circular condition of spacetime different from the case of the usual Kerr spacetime. This study…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Xuan Zhou , Songbai Chen , Jiliang Jing

A spherically symmetric black hole solution defined by the gravitational mass is explored in higher-order curvature gravity associated with a scalar field. It is demonstrated that the singularities of the curvature invariants will be far…

General Relativity and Quantum Cosmology · Physics 2025-09-04 G. G. L. Nashed , Usman Zafar , Kazuharu Bamba

Shape dynamics is classical theory of gravity which agrees with general relativity in many important cases, but possesses different gauge symmetries and constraints. Rather than spacetime diffeomorphism invariance, shape dynamics takes…

General Relativity and Quantum Cosmology · Physics 2016-09-23 Gabriel Herczeg , Vasudev Shyam

We study the shadows of disformal black holes in vector-tensor Galileons modified gravity. Our analysis shows that the apparent image of the black hole in the observer's sky is non-spherical and cuspy, which is in contrast to the Kerr and…

General Relativity and Quantum Cosmology · Physics 2018-01-25 Tsvetan Vetsov , Galin Gyulchev , Stoytcho Yazadjiev

We study certain bi-scalar-tensor theories emanating from conformal symmetry requirements of Horndeski's four-dimensional action. The former scalar is a Galileon with shift symmetry whereas the latter scalar is adjusted to have a higher…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Christos Charmousis , Theodoros Kolyvaris , Eleftherios Papantonopoulos , Minas Tsoukalas

We present a method which allows to deform extremal black hole solutions into non-extremal solutions, for a large class of supersymmetric and non-supersymmetric Einstein-Vector-Scalar type theories. The deformation is shown to be largely…

High Energy Physics - Theory · Physics 2011-03-28 T. Mohaupt , O. Vaughan

Motivated by the hindrance of defining metric tensors compatible with the underlying spinor structure, other than the ones obtained via a conformal transformation, we study how some geometric objects are affected by the action of a…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Iarley P. Lobo , Gabriel G. Carvalho