929 research outputs found
Black Hole Thermodynamics in Carath\'eodory's Approach
We show that, in the framework of Carath\'eodory's approach to
thermodynamics, one can implement black hole thermodynamics by realizing that
there exixts a quasi-homogeneity symmetry of the Pfaffian form \deq
representing the infinitesimal heat exchanged reversibly by a Kerr-Newman black
hole; this allow us to calculate readily an integrating factor, and, as a
consequence, a foliation of the thermodynamic manifold can be recovered.Comment: 10 pages; elsart styl
A Weyl Entropy of Pure Spacetime Regions
We focus on the Penrose's Weyl Curvature Hypothesis in a general framework
encompassing many specific models discussed in literature. We introduce a
candidate density for the Weyl entropy in pure spacetime perfect fluid regions
and show that it is monotonically increasing in time under very general
assumptions. Then we consider the behavior of the Weyl entropy of compact
regions, which is shown to be monotone in time as well under suitable
hypotheses, and also maximal in correspondence with vacuum static metrics. The
minimal entropy case is discussed too
Quantum properties of the Dirac field on BTZ black hole backgrounds
We consider a Dirac field on a -dimensional uncharged BTZ black hole
background. We first find out the Dirac Hamiltonian, and study its
self-adjointness properties. We find that, in analogy to the Kerr-Newman-AdS
Dirac Hamiltonian in dimensions, essential self-adjointness on
of the reduced (radial) Hamiltonian is implemented
only if a suitable relation between the mass of the Dirac field and the
cosmological radius holds true. The very presence of a boundary-like
behaviour of is at the root of this problem. Also, we determine in a
complete way qualitative spectral properties for the non-extremal case, for
which we can infer the absence of quantum bound states for the Dirac field.
Next, we investigate the possibility of a quantum loss of angular momentum for
the -dimensional uncharged BTZ black hole. Unlike the corresponding
stationary four-dimensional solutions, the formal treatment of the level
crossing mechanism is much simpler. We find that, even in the extremal case, no
level crossing takes place. Therefore, no quantum loss of angular momentum via
particle pair production is allowed.Comment: 19 pages; IOP styl
Black Holes and Cosmological Constant in Bosonic String Theory: Some Remarks
(some corrections in the semiclassical study and one reference added).Comment: 17 pages; PHYZZX; IFUM 450/F
Spectral boundary conditions and solitonic solutions in a classical Sellmeier dielectric
Electromagnetic field interactions in a dielectric medium represent a
longstanding field of investigation, both at the classical level and at the
quantum one. We propose a 1+1 dimensional toy-model which consists of an
half-line filling dielectric medium, with the aim to set up a simplified
situation where technicalities related to gauge invariance and, as a
consequence, physics of constrained systems are avoided, and still interesting
features appear. In particular, we simulate the electromagnetic field and the
polarization field by means of two coupled scalar fields ,
respectively, in a Hopfield-like model. We find that, in order to obtain a
physically meaningful behaviour for the model, one has to introduce spectral
boundary conditions depending on the particle spectrum one is dealing with.
This is the first interesting achievement of our analysis. The second relevant
achievement is that, by introducing a nonlinear contribution in the
polarization field , with the aim of mimicking a third order nonlinearity
in a nonlinear dielectric, we obtain solitonic solutions in the Hopfield model
framework, whose classical behaviour is analyzed too.Comment: 12 pages, 1 figur
Quantum properties of the electron field in Kerr-Newman black hole manifolds
We study some spectral features of the one-particle electron Hamiltonian
obtained by separating the Dirac equation in a Kerr-Newman black hole
background. We find that the essential spectrum includes the whole real line.
As a consequence, there is no gap in the spectrum and discrete eigenvalues are
not allowed for any value of the black hole charge and angular momentum
. Our spectral analysis will be also related to the dissipation of the black
hole angular momentum and charge.Comment: 9 pages, uses revte
Pair-production of charged Dirac particles on charged Nariai and ultracold black hole manifolds
Spontaneous loss of charge by charged black holes by means of pair-creation
of charged Dirac particles is considered. We provide three examples of exact
calculations for the spontaneous discharge process for 4D charged black holes
by considering the process on three special non-rotating de Sitter black hole
backgrounds, which allow to bring back the problem to a Kaluza-Klein reduction.
Both the zeta-function approach and the transmission coefficient approach are
taken into account. A comparison between the two methods is also provided, as
well as a comparison with WKB results. In the case of non-zero temperature of
the geometric background, we also discuss thermal effects on the discharge
process.Comment: 27 page
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