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On the mass spectrum of Viel-dreibein gravity
Eloy Ayón-Beato, Elizabeth Rodr\'ıguez Querts
We study the AdS-wave configurations of Viel-dreibein gravity, a three-dimensional theory of interacting spin-2 fields, as a pretext to characterize the mass spectrum of this m…
The dyonic Kerr-Schild ansatz
Eloy Ayón-Beato, Daniel Flores-Alfonso, Mokhtar Hassaine +1
We develop a geometric extension of the Kerr-Schild ansatz that incorporates both electric and magnetic sectors of the Maxwell field in a unified framework, without resorting to du…
Non-Noetherian conformal Cheshire effect
Eloy Ayón-Beato, Mokhtar Hassaine, Pedro A. Sánchez
The gravitational Cheshire effect refers to the possibility of turning off the gravitational field while still leaving an imprint of the nonminimal coupling of matter to gravity. T…
Nonlinearly charging the conformally dressed black holes preserving duality and conformal invariance
Eloy Ayón-Beato, Daniel Flores-Alfonso, Mokhtar Hassaine
We start this paper by concisely rederiving ModMax, which is nothing but the unique nonlinear extension of Maxwell's equations preserving conformal and duality invariance. The meri…
Uniqueness of the Jackiw non-Noetherian conformal scalar field
Eloy Ayón-Beato, Mokhtar Hassaine
Jackiw was undoubtedly the first to exhibit an example of a scalar field action which is not conformally invariant whereas its equation of motion is. This feature has recently been…
Non-Noetherian conformal scalar fields
Eloy Ayón-Beato, Mokhtar Hassaine
Recently, an extension of the standard four-dimensional scalar conformal action, yielding a second-order field equation that remains conformally invariant, was proposed. In spite o…
Analytic self-gravitating -Baryons, traversable NUT-AdS wormholes, flat space-time multi-Skyrmions at finite volume and a novel transition in the -Skyrme model
Eloy Ayón-Beato, Fabrizio Canfora, Marcela Lagos +2
We construct the first analytic self-gravitating Skyrmions with higher Baryon charge in four dimensions for the -Skyrme-Einstein- theory by combining the generalized hedg…
Microscopic entropy of higher-dimensional nonminimally dressed Lifshitz black holes
Eloy Ayón-Beato, Moisés Bravo-Gaete, Francisco Correa +2
In arbitrary dimension, we consider a theory described by the most general quadratic curvature corrections of Einstein gravity together with a self-interacting nonminimally coupled…
Exact ghost-free bigravitational waves
Eloy Ayón-Beato, Daniel Higuita-Borja, Julio A. Méndez-Zavaleta +1
We study the propagation of exact gravitational waves in the ghost-free bimetric theory. Our focus is on type N spacetimes compatible with the cosmological constants provided by th…
Role of symmetries in the Kerr-Schild derivation of the Kerr black hole
Eloy Ayón-Beato, Mokhtar Hassaïne, Daniel Higuita-Borja
In this work we explore the consequences of considering from the very beginning the stationary and axisymmetric properties of the Kerr black hole as one attempts to derive this sol…
Rotating (A)dS black holes in bigravity
Eloy Ayón-Beato, Daniel Higuita-Borja, Julio A. Méndez-Zavaleta
In this paper we explore the advantage of using the Kerr-Schild Ansatz in the search of analytic configurations to bigravity. It turns out that it plays a crucial role by providing…
(Super-)renormalizably dressed black holes
Eloy Ayón-Beato, Mokhtar Hassaïne, Julio A. Méndez-Zavaleta
Black holes supported by self-interacting conformal scalar fields can be considered as renormalizably dressed since the conformal potential is nothing but the top power-counting re…
Towards the uniqueness of Lifshitz black holes and solitons in New Massive Gravity
Eloy Ayón-Beato, Mokhtar Hassaïne, María Montserrat Juárez-Aubry
We prove that the z=1 and z=3 Lifshitz black hole solutions of New Massive Gravity in three dimensions are the only static axisymmetric solutions that can be cast in a Kerr-Schild…
Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
Eloy Ayón-Beato, Gaston Giribet, Mokhtar Hassaïne
The aim of this paper is to explore D-dimensional theories of pure gravity whose space of solutions contains certain class of AdS-waves, including in particular Schrodinger invaria…
Bending AdS Waves with New Massive Gravity
Eloy Ayón-Beato, Gaston Giribet, Mokhtar Hassaïne
We study AdS-waves in the three-dimensional new theory of massive gravity recently proposed by Bergshoeff, Hohm, and Townsend. The general configuration of this type is derived and…
Higher-dimensional AdS waves and pp-waves with conformally related sources
Eloy Ayón-Beato, Mokhtar Hassaïne
AdS waves and pp-waves can only be supported by pure radiation fields, for which the only nonvanishing component of the energy-momentum tensor is the energy density along the retar…
Surveying the Three-Dimensional Fixed Points of T-Duality
Eloy Ayón-Beato, Gaston Giribet
We explore the family of fixed points of T-Duality transformations in three dimensions. For the simplest nontrivial self-duality conditions it is possible to show that, additionall…
Exploring AdS Waves Via Nonminimal Coupling
Eloy Ayón-Beato, Mokhtar Hassaïne
We consider nonminimally coupled scalar fields to explore the Siklos spacetimes in three dimensions. Their interpretation as exact gravitational waves propagating on AdS restrict t…
Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime
Eloy Ayón-Beato, Cristián Martínez, Ricardo Troncoso +1
It is shown that flat spacetime can be dressed with a real scalar field that satisfies the nonlinear Klein-Gordon equation without curving spacetime. Surprisingly, this possibility…
Scalar Fields Nonminimally Coupled to pp Waves
Eloy Ayón-Beato, Mokhtar Hassaïne
Here, we report pp waves configurations of three-dimensional gravity for which a scalar field nonminimally coupled to them acts as a source. In absence of self-interaction the solu…
pp Waves of Conformal Gravity with Self-Interacting Source
Eloy Ayón-Beato, Mokhtar Hassaïne
Recently, Deser, Jackiw and Pi have shown that three-dimensional conformal gravity with a source given by a conformally coupled scalar field admits pp wave solutions. In this lette…
Birkhoff's Theorem for Three-Dimensional AdS Gravity
Eloy Ayón-Beato, Cristián Martínez, Jorge Zanelli
All three-dimensional matter-free spacetimes with negative cosmological constant, compatible with cyclic symmetry are identified. The only cyclic solutions are the 2+1 (BTZ) black…
New Regular Black Hole Solution from Nonlinear Electrodynamics
Eloy Ayón-Beato, Alberto García
Using a nonlinear electrodynamics coupled to General Relativity a new regular exact black hole solution is found. The nonlinear theory reduces to the Maxwell one in the weak limit,…