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Recently it was demonstrated that by adding to the Einstein-Hilbert action a series in powers of the curvature invariants with specially chosen coefficients one can obtain a theory of gravity which has spherically symmetric solutions…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Valeri P. Frolov , Alex Koek , Jose Pinedo Soto , Andrei Zelnikov

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio

Both cosmological expansion and black holes are ubiquitous features of our observable Universe, yet exact solutions connecting the two have remained elusive. To this end, we study self-gravitating classical fields within dynamical…

General Relativity and Quantum Cosmology · Physics 2014-05-16 Elcio Abdalla , Niayesh Afshordi , Michele Fontanini , Daniel C. Guariento , Eleftherios Papantonopoulos

The Aether Scalar Tensor (AeST) theory is an extension of general relativity(GR) successful at reproducing galactic rotational curves, gravitational lensing, linear large scale structure and cosmic microwave background power spectrum…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Constantinos Skordis , David M. J. Vokrouhlicky

Different classes of exact solutions for the BHT massive gravity theory are constructed and analyzed. We focus in the special case of the purely quadratic Lagrangian, whose field equations are irreducibly of fourth order and are known to…

High Energy Physics - Theory · Physics 2015-12-31 Cédric Troessaert , David Tempo , Ricardo Troncoso

We present an exact black hole solution in a model having besides gravity a dilaton and a monopole field. The solution has three free parameters, one of which can be identified with the monopole charge, and another with the ADM mass. The…

General Relativity and Quantum Cosmology · Physics 2015-06-25 E. Kyriakopoulos

Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild-de Sitter black hole solutions exhibiting time-dependent scalar hair. The properties of these solutions may be studied via a bottom-up effective field theory…

High Energy Physics - Theory · Physics 2023-05-01 Justin Khoury , Toshifumi Noumi , Mark Trodden , Sam S. C. Wong

No-hair theorems exclude the existence of nontrivial scalar and massive vector hair outside four-dimensional, static, asymptotically flat black-hole spacetimes. We show, by explicitly building nonlinear solutions, that black holes can…

General Relativity and Quantum Cosmology · Physics 2013-09-09 Richard Brito , Vitor Cardoso , Paolo Pani

We study the static, spherically symmetric black hole solutions for a non-minimally coupled multi-scalar theory. We find numerical solutions for values of the scalar fields when a certain constraint on the maximal charge is satisfied.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ben M. Leith , Alex B. Nielsen

We study static non-critical hairy black holes of four dimensional gravitational model with nonminimal derivative coupling and a scalar potential turned on. By taking an ansatz, namely, the first derivative of the scalar field is…

High Energy Physics - Theory · Physics 2018-05-28 Bobby Eka Gunara , Ainol Yaqin

We explore General Relativity solutions with stealth scalar hair in general quadratic higher-order scalar-tensor theories. Adopting the assumption that the scalar field has a constant kinetic term, we derive in a fully covariant manner a…

General Relativity and Quantum Cosmology · Physics 2020-06-18 Kazufumi Takahashi , Hayato Motohashi

We show that spacetime symmetries on any background give rise to stealth vector fields obeying Proca-type equations supplemented by curvature terms. This observation, which is true for solutions of any theory of gravity and with arbitrary…

High Energy Physics - Theory · Physics 2026-05-25 David Kubiznak , Robert B. Mann , Marek Milička

We review the method of constructing dipole and string loop solutions from the higher-dimensional (Euclidean) Kerr black hole. We analyse the results in various dimensions, finding solutions earlier given in the literature. Then we…

High Energy Physics - Theory · Physics 2007-05-23 Bert Janssen , Sudipta Mukherji

We derive a geometrical version of the Regge-Wheeler and Zerilli equations, which allows us to study gravitational perturbations on an arbitrary spherically symmetric slicing of a Schwarzschild black hole. We explain how to obtain the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Olivier Sarbach , Manuel Tiglio

We study the full time-domain evolution of gravitational perturbations in black hole spacetimes arising in Einstein-Weyl gravity, a renormalizable extension of general relativity containing quadratic curvature corrections. We analyze both…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Roman A. Konoplya , Andrea Spina , Alexander Zhidenko

The specific nonlinear vector $\sigma$-model coupled to Einstein gravity is investigated. The model arises in the studies of the gravitating matter in non-commutative geometry. The static spherically symmetric spacetimes are identified by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Klimcik , P. Kolnik , A. Pompos

Black holes with resonant hair are static, spherical, electrically charged solutions of the Einstein-Maxwell-(gauged-)scalar system. Scalar self-interactions are mandatory for their existence. Initial dynamical studies restricted to…

General Relativity and Quantum Cosmology · Physics 2026-04-27 José Ferreira , Carlos A. R. Herdeiro , Eugen Radu , Miguel Zilhão

A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Wei Xu , Liu Zhao , De-Cheng Zou

We study the dynamics of odd-parity perturbations on a static and spherically symmetric black hole background with a timelike vector field based on the effective field theory (EFT) approach. We derive the quadratic Lagrangian written in…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Shogo Tomizuka , Hajime Kobayashi , Naritaka Oshita , Kazufumi Takahashi , Shinji Mukohyama

Static spherically symmetric solutions for conformal gravity in three dimensions are found. Black holes and wormholes are included within this class. Asymptotically the black holes are spacetimes of arbitrary constant curvature, and they…

High Energy Physics - Theory · Physics 2009-07-28 Julio Oliva , David Tempo , Ricardo Troncoso
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