3,185 research outputs found
Radiative spacetimes approaching the Vaidya metric
We analyze a class of exact type II solutions of the Robinson-Trautman family
which contain pure radiation and (possibly) a cosmological constant. It is
shown that these spacetimes exist for any sufficiently smooth initial data, and
that they approach the spherically symmetric Vaidya-(anti-)de Sitter metric. We
also investigate extensions of the metric, and we demonstrate that their order
of smoothness is in general only finite. Some applications of the results are
outlined.Comment: 12 pages, 3 figure
A radiating dyon solution
We give a non-static exact solution of the Einstein-Maxwell equations (with
null fluid), which is a non-static magnetic charge generalization to the
Bonnor-Vaidya solution and describes the gravitational and electromagnetic
fields of a nonrotating massive radiating dyon. In addition, using the
energy-momentum pseudotensors of Einstein and Landau and Lifshitz we obtain the
energy, momentum, and power output of the radiating dyon and find that both
prescriptions give the same result.Comment: 9 pages, LaTe
The Tolman-Bondi--Vaidya Spacetime: matching timelike dust to null dust
The Tolman-Bondi and Vaidya solutions are two solutions to Einstein equations
which describe dust particles and null fluid, respectively. We show that it is
possible to match the two solutions in one single spacetime, the
Tolman-Bondi--Vaidya spacetime. The new spacetime is divided by a null surface
with Tolman-Bondi dust on one side and Vaidya fluid on the other side. The
differentiability of the spacetime is discussed. By constructing a specific
solution, we show that the metric across the null surface can be at least
and the stress-energy tensor is continuous.Comment: 5 pages, no figur
Mixed potentials in radiative stellar collapse
We study the behaviour of a radiating star when the interior expanding,
shearing fluid particles are traveling in geodesic motion. We demonstrate that
it is possible to obtain new classes of exact solutions in terms of elementary
functions without assuming a separable form for the gravitational potentials or
initially fixing the temporal evolution of the model unlike earlier treatments.
A systematic approach enables us to write the junction condition as a Riccati
equation which under particular conditions may be transformed into a separable
equation. New classes of solutions are generated which allow for mixed spatial
and temporal dependence in the metric functions. We regain particular models
found previously from our general classes of solutions.Comment: 10 pages, To appear in J. Math. Phy
Exact relativistic model for a superdense star
Assuming that the physical 3-space t = const in a superdense star is spheroidal, a static spherically symmetric model based on an exact solution of Einstein's equations is given which will permit densities of the order of 2 × 1014 gm cm-3, radii of the order of a few kilometers and masses up to about four times the solar mass
Quantization in black hole backgrounds
Quantum field theory in a semiclassical background can be derived as an
approximation to quantum gravity from a weak-coupling expansion in the inverse
Planck mass. Such an expansion is studied for evolution on "nice-slices" in the
spacetime describing a black hole of mass M. Arguments for a breakdown of this
expansion are presented, due to significant gravitational coupling between
fluctuations, which is consistent with the statement that existing calculations
of information loss in black holes are not reliable. For a given fluctuation,
the coupling to subsequent fluctuations becomes of order unity by a time of
order M^3. Lack of a systematic derivation of the weakly-coupled/semiclassical
approximation would indicate a role for the non-perturbative dynamics of
gravity, and possibly for the proposal that such dynamics has an essentially
non-local quality.Comment: 28 pages, 4 figures, harvmac. v2: added refs, minor clarification
Stellar explosion in the weak field approximation of the Brans-Dicke theory
We treat a very crude model of an exploding star, in the weak field
approximation of the Brans-Dicke theory, in a scenario that resembles some
characteristics data of a Type Ia Supernova. The most noticeable feature, in
the electromagnetic component, is the relationship between the absolute
magnitude at maximum brightness of the star and the decline rate in one
magnitude from that maximum. This characteristic has become one of the most
accurate method to measure luminosity distances to objects at cosmological
distances. An interesting result is that the active mass associated with the
scalar field is totally radiated to infinity, representing a mass loss in the
ratio of the "tensor" component to the scalar component of 1 to ( is the Brans-Dicke parameter), in agreement with a general result
of Hawking. Then, this model shows explicitly, in a dynamical case, the
mechanism of radiation of scalar field, which is necessary to understand the
Hawking result.Comment: 11 pages, no figures. Published in Class. Quantum Gravity V22 (2005
Non-symmetric trapped surfaces in the Schwarzschild and Vaidya spacetimes
Marginally trapped surfaces (MTSs) are commonly used in numerical relativity
to locate black holes. For dynamical black holes, it is not known generally if
this procedure is sufficiently reliable. Even for Schwarzschild black holes,
Wald and Iyer constructed foliations which come arbitrarily close to the
singularity but do not contain any MTSs. In this paper, we review the Wald-Iyer
construction, discuss some implications for numerical relativity, and
generalize to the well known Vaidya spacetime describing spherically symmetric
collapse of null dust. In the Vaidya spacetime, we numerically locate
non-spherically symmetric trapped surfaces which extend outside the standard
spherically symmetric trapping horizon. This shows that MTSs are common in this
spacetime and that the event horizon is the most likely candidate for the
boundary of the trapped region.Comment: 4 pages, 3 figures; v2: minor modifications; v3: clarified
conclusion
Kerr-Schild Symmetries
We study continuous groups of generalized Kerr-Schild transformations and the
vector fields that generate them in any n-dimensional manifold with a
Lorentzian metric. We prove that all these vector fields can be intrinsically
characterized and that they constitute a Lie algebra if the null deformation
direction is fixed. The properties of these Lie algebras are briefly analyzed
and we show that they are generically finite-dimensional but that they may have
infinite dimension in some relevant situations. The most general vector fields
of the above type are explicitly constructed for the following cases: any
two-dimensional metric, the general spherically symmetric metric and
deformation direction, and the flat metric with parallel or cylindrical
deformation directions.Comment: 15 pages, no figures, LaTe
Hawking radiation as tunneling from a Vaidya black hole in noncommutative gravity
In the context of a noncommutative model of coordinate coherent states, we
present a Schwarzschild-like metric for a Vaidya solution instead of the
standard Eddington-Finkelstein metric. This leads to the appearance of an exact
dependent case of the metric. We analyze the resulting metric in
three possible causal structures. In this setup, we find a zero remnant mass in
the long-time limit, i.e. an instable black hole remnant. We also study the
tunneling process across the quantum horizon of such a Vaidya black hole. The
tunneling probability including the time-dependent part is obtained by using
the tunneling method proposed by Parikh and Wilczek in terms of the
noncommutative parameter . After that, we calculate the entropy
associated to this noncommutative black hole solution. However the corrections
are fundamentally trifling; one could respect this as a consequence of quantum
inspection at the level of semiclassical quantum gravity.Comment: 19 pages, 5 figure
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