49 research outputs found
Formation of Higher-dimensional Topological Black Holes
We study higher dimensional gravitational collapse to topological black holes
in two steps. Firstly, we construct some (n+2)-dimensional collapsing
space-times, which include generalised Lemaitre-Tolman-Bondi-like solutions,
and we prove that these can be matched to static -vacuum exterior
space-times. We then investigate the global properties of the matched solutions
which, besides black holes, may include the existence of naked singularities
and wormholes. Secondly, we consider as interiors classes of 5-dimensional
collapsing solutions built on Riemannian Bianchi IX spatial metrics matched to
radiating exteriors given by the Bizon-Chmaj-Schmidt metric. In some cases, the
data at the boundary for the exterior can be chosen to be close to the data for
the Schwarzschild solution.Comment: 16 pages, 3 figures; v2: typos corrected, matches final published
versio
Avoiding closed timelike curves with a collapsing rotating null dust shell
We present an idealised model of gravitational collapse, describing a
collapsing rotating cylindrical shell of null dust in flat space, with the
metric of a spinning cosmic string as the exterior. We find that the shell
bounces before closed timelike curves can be formed. Our results also suggest
slightly different definitions for the mass and angular momentum of the string.Comment: 6 pages; v2: references added; v3: remark added for final published
versio
Universality of Highly Damped Quasinormal Modes for Single Horizon Black Holes
It has been suggested that the highly damped quasinormal modes of black holes
provide information about the microscopic quantum gravitational states
underlying black hole entropy. This interpretation requires the form of the
highly damped quasinormal mode frequency to be universally of the form:
, where is an integer, and is the
black hole temperature. We summarize the results of an analysis of the highly
damped quasinormal modes for a large class of single horizon, asymptotically
flat black holes.Comment: 9 pages, 1 figure, submitted to the proceedings of Theory CANADA 1,
which will be published in a special edition of the Canadian Journal of
Physic
The Highly Damped Quasinormal Modes of Extremal Reissner-Nordstr\"om and Reissner-Nordstr\"om-de Sitter Black Holes
We analyze in detail the highly damped quasinormal modes of -dimensional
extremal Reissner-Nordstrm and
Reissner-Nordstrm-de Sitter black holes. We only consider the
extremal case where the event horizon and the Cauchy inner horizon coincide. We
show that, even though the topology of the Stokes/anti-Stokes lines in the
extremal case is different than the non-extremal case, the highly damped
quasinormal mode frequencies of extremal black holes match exactly with the
extremal limit of the non-extremal black hole quasinormal mode frequencies.Comment: 17 pages, 5 figure
On The 5D Extra-Force according to Basini-Capozziello-Leon Formalism and five important features: Kar-Sinha Gravitational Bending of Light, Chung-Freese Superluminal Behaviour, Maartens-Clarkson Black Strings, Experimental measures of Extra Dimensions on board International Space Station(ISS) and the existence of the Particle due to a Higher Dimensional spacetime
We use the Conformal Metric as described in Kar-Sinha work on Gravitational
Bending of Light in a 5D Spacetime to recompute the equations of the 5D Force
in Basini-Capozziello-Leon Formalism and we arrive at a result that possesses
some advantages. The equations of the Extra Force as proposed by Leon are now
more elegant in Conformal Formalism and many algebraic terms can be simplified
or even suppressed. Also we recompute the Kar-Sinha Gravitational Bending of
Light affected by the presence of the Extra Dimension and analyze the
Superluminal Chung-Freese Features of this Formalism describing the advantages
of the Chung-Freese BraneWorld when compared to other Superluminal spacetime
metrics(eg:Warp Drive) and we describe why the Extra Dimension is invisible and
how the Extra Dimension could be made visible at least in theory.We also
examine the Maartens-Clarkson Black Holes in 5D(Black Strings) coupled to
massive Kaluza-Klein graviton modes predicted by Extra Dimensions theories and
we study experimental detection of Extra Dimensions on-board LIGO and LISA
Space Telescopes.We also propose the use of International Space Station(ISS) to
measure the additional terms(resulting from the presence of Extra Dimensions)
in the Kar-Sinha Gravitational Bending of Light in Outer Space to verify if we
really lives in a Higher Dimensional Spacetime.Also we demonstrate that
Particle can only exists if the 5D spacetime exists.Comment: Withdrawn: author no longer wishes to post work on arXi
Area spectra versus entropy spectra in black holes in topologically massive gravity
We consider the area and entropy spectra of black holes in topologically
massive gravity with gravitational Chern-Simons term. The examples we consider
are the BTZ black hole and the warped AdS black hole. For the non-rotating BTZ
black hole, the area and entropy spectra are equally spaced and independent of
the coupling constant \v of the Chern-Simons term. For the rotating BTZ black
hole case, the spectra of the inner and outer horizon areas are not equally
spaced in general and dependent of the coupling constant \v. However the
entropy spectrum is equally spaced and independent of the coupling constant
\v. For the warped AdS black holes for by using the quasinormal modes
obtained without imposing the boundary condition at radial infinity we find
again that the entropy spectrum is equally spaced and independent of the
coupling constant \v, while the spectra of the inner and outer horizon areas
are not equally spaced and dependent of the coupling constant \v. Our result
implies that the entropy spectrum has a universal behavior regardless of the
presence of the gravitational Chern-Simons term, and therefore it implies that
the entropy is more `fundamental' than the horizon area.Comment: 16 page
Area spectra of the rotating BTZ black hole from quasinormal modes
Following Bekenstein's suggestion that the horizon area of a black hole
should be quantized, the discrete spectrum of the horizon area has been
investigated in various ways. By considering the quasinormal mode of a black
hole, we obtain the transition frequency of the black hole, analogous to the
case of a hydrogen atom, in the semiclassical limit. According to Bohr's
correspondence principle, this transition frequency at large quantum number is
equal to classical oscillation frequency. For the corresponding classical
system of periodic motion with this oscillation frequency, an action variable
is identified and quantized via Bohr-Sommerfeld quantization, from which the
quantized spectrum of the horizon area is obtained. This method can be applied
for black holes with discrete quasinormal modes. As an example, we apply the
method for the both non-rotating and rotating BTZ black holes and obtain that
the spectrum of the horizon area is equally spaced and independent of the
cosmological constant for both cases
Linking and causality in globally hyperbolic spacetimes
The linking number is defined if link components are zero homologous.
Our affine linking invariant generalizes to the case of linked
submanifolds with arbitrary homology classes. We apply to the study of
causality in Lorentz manifolds. Let be a spacelike Cauchy surface in a
globally hyperbolic spacetime . The spherical cotangent bundle
is identified with the space of all null geodesics in
Hence the set of null geodesics passing through a point gives an
embedded -sphere in called the sky of Low observed
that if the link is nontrivial, then are causally
related. This motivated the problem (communicated by Penrose) on the Arnold's
1998 problem list to apply link theory to the study of causality. The spheres
are isotopic to fibers of They are nonzero
homologous and is undefined when is closed, while is well defined. Moreover, if is not an
odd-dimensional rational homology sphere. We give a formula for the increment
of \alk under passages through Arnold dangerous tangencies. If is
such that takes values in and is conformal to having all
the timelike sectional curvatures nonnegative, then are causally
related if and only if . We show that in
nonrefocussing are causally unrelated iff can be deformed
to a pair of -fibers of by an isotopy through skies. Low
showed that if (\ss, g) is refocussing, then is compact. We show that the
universal cover of is also compact.Comment: We added: Theorem 11.5 saying that a Cauchy surface in a refocussing
space time has finite pi_1; changed Theorem 7.5 to be in terms of conformal
classes of Lorentz metrics and did a few more changes. 45 pages, 3 figures. A
part of the paper (several results of sections 4,5,6,9,10) is an extension
and development of our work math.GT/0207219 in the context of Lorentzian
geometry. The results of sections 7,8,11,12 and Appendix B are ne
Quasinormal Spectrum and Quantization of Charged Black Holes
Black-hole quasinormal modes have been the subject of much recent attention,
with the hope that these oscillation frequencies may shed some light on the
elusive theory of quantum gravity. We study {\it analytically} the asymptotic
quasinormal spectrum of a {\it charged} scalar field in the (charged)
Reissner-Nordstr\"om spacetime. We find an analytic expression for these
black-hole resonances in terms of the black-hole physical parameters: its
Bekenstein-Hawking temperature , and its electric potential . We
discuss the applicability of the results in the context of black-hole
quantization. In particular, we show that according to Bohr's correspondence
principle, the asymptotic resonance corresponds to a fundamental area unit
.Comment: 4 page