65 research outputs found
AdS black holes with arbitrary scalar coupling
A general class of axionic and electrically charged black holes for a
self-interacting scalar field nonminimally coupled to Einstein gravity with a
negative cosmological constant is presented. These solutions are the first
examples of black holes with an arbitrary nonminimal coupling in four
dimensions. Moreover, due to the presence of two three-forms fields, the
topology of the horizon of these black holes is planar. We discuss some
properties of these solutions electing particular values of the nonminimal
coupling parameter. A special case arises when , for which the
gravitational field is confined in a region close to the event horizon. We also
show that these black holes emerge from stealth AdS configurations as the
axionic fields are switched on, and that they can be generated through a
Kerr-Schild transformation. Finally, in the appendix, we extend these results
to arbitrary dimension.Comment: 23 page
Conformal symmetry of an extended Schrodinger equation and its relativistic origin
In this paper two things are done. We first show that an arbitrary power of the Schrodinger Lagrangian in arbitrary dimension always enjoys the non-relativistic conformal symmetry. The implementation of this symmetry on the dynamical field is achieved with a conformal factor that depends on the dimension and on the exponent as well as with a phase term. There also exists a particular value of the exponent for which the transformed field under the special conformal transformations involves only a phase term. This non-relativistic conformal symmetry is shown to have its origin on a relativistic conformal action in one higher dimension which turns out to be an extended version of the standard conformal wave action
Higher-dimensional AdS waves and pp-waves with conformally related sources
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 retarded time. We show that the nonminimal coupling of self-gravitating scalar fields to the higher-dimensional versions of these exact gravitational waves can be done consistently. In both cases, the resulting pure radiation constraints completely fix the scalar field dependence and the form of the allowed self-interactions. More significantly, we establish that the two sets of pure radiation constraints are conformally related for any nonminimal coupling, in spite of the fact that the involved gravitational fields are not necessarily related. In this correspondence, the potential supporting the AdS waves emerges from the self-interaction associated to the pp-waves and a self-dual condition naturally satisfied by the pp-wave scalar fields
Lovelock black holes with a power-Yang-Mills source
We consider the standard Yang-Mills (YM) invariant raised to the power q,
i.e., as the source of our geometry
and investigate the possible black hole solutions. How does this parameter q
modify the black holes in Einstein-Yang-Mills (EYM) and its extensions such as
Gauss-Bonnet (GB) and the third order Lovelock theories? The advantage of such
a power q (or a set of superposed members of the YM hierarchies) if any, may be
tested even in a free YM theory in flat spacetime. Our choice of the YM field
is purely magnetic in any higher dimensions so that duality makes no sense. In
analogy with the Einstein-power-Maxwell theory, the conformal invariance
provides further reduction, albeit in a spacetime for dimensions of multiples
of 4.Comment: 19 pages, no figure and 2 tables, to appear in Physics Letters
The symmetries of the Manton superconductivity model
The symmetries and conserved quantities of Manton's modified
superconductivity model with non-relativistic Maxwell-Chern-Simons dynamics
(also related to the Quantized Hall Effect) are obtained in the ``Kaluza-Klein
type'' framework of Duval et al.Comment: 24 pages, Plain TEX, no figure
The geometry of Schr\"odinger symmetry in non-relativistic CFT
The non-relativistic conformal "Schroedinger" symmetry of some gravity
backgrounds proposed recently in the AdS/CFT context, is explained in the
"Bargmann framework". The formalism incorporates the Equivalence Principle.
Newton-Hooke conformal symmetries, which are analogs of those of Schroedinger
in the presence of a negative cosmological constant, are discussed in a similar
way. Further examples include topologically massive gravity with negative
cosmological constant and the Madelung hydrodynamical description.Comment: RevTex, 7 pages, no figures. Presentation rearranged, minor
corrections, some more references adde
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