383 research outputs found
New varieties of Gowdy spacetimes
Gowdy spacetimes are generalized to admit two commuting spatial "local"
Killing vectors, and some new varieties of them are presented, which are all
closely related to Thurston's geometries. Explicit spatial compactifications,
as well as the boundary conditions for the metrics are given in a systematic
way. A short comment on an implication to their dynamics toward the initial
singularity is made.Comment: 13 pages with no figure. A reference added, and typos corrected. To
appear in J.Math.Phy
Gauss-Bonnet black holes with non-constant curvature horizons
We investigate static and dynamical n(\ge 6)-dimensional black holes in
Einstein-Gauss-Bonnet gravity of which horizons have the isometries of an
(n-2)-dimensional Einstein space with a condition on its Weyl tensor originally
given by Dotti and Gleiser. Defining a generalized Misner-Sharp quasi-local
mass that satisfies the unified first law, we show that most of the properties
of the quasi-local mass and the trapping horizon are shared with the case with
horizons of constant curvature. It is shown that the Dotti-Gleiser solution is
the unique vacuum solution if the warp factor on the (n-2)-dimensional Einstein
space is non-constant. The quasi-local mass becomes constant for the
Dotti-Gleiser black hole and satisfies the first law of the black-hole
thermodynamics with its Wald entropy. In the non-negative curvature case with
positive Gauss-Bonnet constant and zero cosmological constant, it is shown that
the Dotti-Gleiser black hole is thermodynamically unstable. Even if it becomes
locally stable for the non-zero cosmological constant, it cannot be globally
stable for the positive cosmological constant.Comment: 15 pages, 1 figure; v2, discussion clarified and references added;
v3, published version; v4, Eqs.(4.22)-(4.24) corrected, which do not change
Eqs.(4.25)-(4.27
Dynamics of compact homogeneous universes
A complete description of dynamics of compact locally homogeneous universes
is given, which, in particular, includes explicit calculations of Teichm\"uller
deformations and careful counting of dynamical degrees of freedom. We regard
each of the universes as a simply connected four dimensional spacetime with
identifications by the action of a discrete subgroup of the isometry group. We
then reduce the identifications defined by the spacetime isometries to ones in
a homogeneous section, and find a condition that such spatial identifications
must satisfy. This is essential for explicit construction of compact
homogenoeus universes. Some examples are demonstrated for Bianchi II, VI,
VII, and I universal covers.Comment: 32 pages with 2 figures (LaTeX with epsf macro package
Perfect fluid spheres with cosmological constant
We examine static perfect fluid spheres in the presence of a cosmological
constant. New exact matter solutions are discussed which require the Nariai
metric in the vacuum region. We generalize the Einstein static universe such
that neither its energy density nor its pressure is constant throughout the
spacetime. Using analytical techniques we derive conditions depending on the
equation of state to locate the vanishing pressure surface. This surface can in
general be located in regions with decreasing area group orbits. We use
numerical methods to integrate the field equations for realistic equations of
state and find consistent results.Comment: 15 pages, 6 figures; added new references, removed one figure,
improved text, accepted for publication in PR
Cosmological Vorticity in a Gravity with Quadratic Order Curvature Couplings
We analyse the evolution of the rotational type cosmological perturbation in
a gravity with general quadratic order gravitational coupling terms. The result
is expressed independently of the generalized nature of the gravity theory, and
is simply interpreted as a conservation of the angular momentum.Comment: 5 pages, revtex, no figure
Scattering of scalar perturbations with cosmological constant in low-energy and high-energy regimes
We study the absorption and scattering of massless scalar waves propagating
in spherically symmetric spacetimes with dynamical cosmological constant both
in low-energy and high-energy zones. In the former low-energy regime, we solve
analytically the Regge-Wheeler wave equation and obtain an analytic absorption
probability expression which varies with , where is the
central mass and is cosmological constant. The low-energy absorption
probability, which is in the range of , increases monotonically
with increase in . In the latter high-energy regime, the scalar
particles adopt their geometric optics limit value. The trajectory equation
with effective potential emerges and the analytic high-energy greybody factor,
which is relevant with the area of classically accessible regime, also
increases monotonically with increase in , as long is less
than or of the order of . In this high-energy case, the null cosmological
constant result reduces to the Schwarzschild value .Comment: 12 pages, 6 figure
Regular black holes in an asymptotically de Sitter universe
A regular solution of the system of coupled equations of the nonlinear
electrodynamics and gravity describing static and spherically-symmetric black
holes in an asymptotically de Sitter universe is constructed and analyzed.
Special emphasis is put on the degenerate configurations (when at least two
horizons coincide) and their near horizon geometry. It is explicitly
demonstrated that approximating the metric potentials in the region between the
horizons by simple functions and making use of a limiting procedure one obtains
the solutions constructed from maximally symmetric subspaces with different
absolute values of radii. Topologically they are for the
cold black hole, when the event and cosmological horizon
coincide, and the Pleba\'nski- Hacyan solution for the ultraextremal black
hole. A physically interesting solution describing the lukewarm black holes is
briefly analyze
Regular black holes with flux tube core
We consider a class of black holes for which the area of the two-dimensional
spatial cross-section has a minimum on the horizon with respect to a
quasiglobal (Krusckal-like) coordinate. If the horizon is regular, one can
generate a tubelike counterpart of such a metric and smoothly glue it to a
black hole region. The resulting composite space-time is globally regular, so
all potential singuilarities under the horizon of the original metrics are
removed. Such a space-time represents a black hole without an apparent horizon.
It is essential that the matter should be non-vacuum in the outer region but
vacuumlike in the inner one. As an example we consider the noninteracting
mixture of vacuum fluid and matter with a linear equation of state and scalar
phantom fields. This approach is extended to distorted metrics, with the
requirement of spherical symmetry relaxed.Comment: 15 pages. 2 references adde
Probability for Primordial Black Holes in Multidimensional Universe with Nonlinear Scalar Curvature Terms
We investigate multi-dimensional universe with nonlinear scalar curvature
terms to evaluate the probability of creation of primordial black holes. For
this we obtain Euclidean instanton solution in two different topologies: (a)
- topology which does not accommodate primordial black holes and (b)
-topology which accommodates a pair of black holes. The
probability for quantum creation of an inflationary universe with a pair of
black holes has been evaluated assuming a gravitational action which is
described by a polynomial function of scalar curvature with or without a
cosmological constant () using the framework of semiclassical
approximation of Hartle-Hawking boundary conditions. We discuss here a class of
new gravitational instantons solution in the -theory which are relevant
for cosmological model building.Comment: 18 pages, no figure. accepted in Phys. Rev.
A simple proof of Birkhoff's theorem for cosmological constant
We provide a simple, unified proof of Birkhoff's theorem for the vacuum and
cosmological constant case, emphasizing its local nature. We discuss its
implications for the maximal analytic extensions of Schwarzschild,
Schwarzschild(-anti)-de Sitter and Nariai spacetimes. In particular, we note
that the maximal analytic extensions of extremal and over-extremal
Schwarzschild-de Sitter spacetimes exhibit no static region. Hence the common
belief that Birkhoff's theorem implies staticity is false for the case of
positive cosmological constant. Instead, the correct point of view is that
generalized Birkhoff's theorems are local uniqueness theorems whose corollary
is that locally spherically symmetric solutions of Einstein's equations exhibit
an additional local killing vector field.Comment: 10 pages, 5 figures References added; typo in eqn. 12 fixe
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