29 research outputs found

### Spherical collapse of a heat conducting fluid in higher dimensions without horizon

We consider a scenario where the interior spacetime,described by a heat
conducting fluid sphere is matched to a Vaidya metric in higher
dimensions.Interestingly we get a class of solutions, where following heat
radiation the boundary surface collapses without the appearance of an event
horizon at any stage and this happens with reasonable properties of matter
field.The non-occurrence of a horizon is due to the fact that the rate of mass
loss exactly counterbalanced by the fall of boundary radius.Evidently this
poses a counter example to the so-called cosmic censorship hypothesis.Two
explicit examples of this class of solutions are also given and it is observed
that the rate of collapse is delayed with the introduction of extra
dimensions.The work extends to higher dimensions our previous investigation in
4D.Comment: 6 page

### Qualitative Analysis of Causal Anisotropic Viscous Fluid Cosmological Models

The truncated Israel-Stewart theory of irreversible thermodynamics is used to
describe the bulk viscous pressure and the anisotropic stress in a class of
spatially homogeneous viscous fluid cosmological models. The governing system
of differential equations is written in terms of dimensionless variables and a
set of dimensionless equations of state is utilized to complete the system. The
resulting dynamical system is then analyzed using standard geometric
techniques. It is found that the presence of anisotropic stress plays a
dominant role in the evolution of the anisotropic models. In particular, in the
case of the Bianchi type I models it is found that anisotropic stress leads to
models that violate the weak energy condition and to the creation of a periodic
orbit in some instances. The stability of the isotropic singular points is
analyzed in the case with zero heat conduction; it is found that there are
ranges of parameter values such that there exists an attracting isotropic
Friedmann-Robertson-Walker model. In the case of zero anisotropic stress but
with non-zero heat conduction the stability of the singular points is found to
be the same as in the corresponding case with zero heat conduction; hence the
presence of heat conduction does not apparently affect the global dynamics of
the model.Comment: 35 pages, REVTeX, 3 Encapsulated PostScript Figure

### Symmetries of Bianchi I space-times

All diagonal proper Bianchi I space-times are determined which admit certain
important symmetries. It is shown that for Homotheties, Conformal motions and
Kinematic Self-Similarities the resulting space-times are defined explicitly in
terms of a set of parameters whereas Affine Collineations, Ricci Collineations
and Curvature Collineations, if they are admitted, they determine the metric
modulo certain algebraic conditions. In all cases the symmetry vectors are
explicitly computed. The physical and the geometrical consequences of the
results are discussed and a new anisitropic fluid, physically valid solution
which admits a proper conformal Killing vector, is given.Comment: 19 pages, LaTex, Accepted for publication in Journal of Mathematical
Physic

### Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects

Using the the concept of cracking we explore the influence of density
fluctuations and local anisotropy have on the stability of local and non-local
anisotropic matter configurations in general relativity. This concept,
conceived to describe the behaviour of a fluid distribution just after its
departure from equilibrium, provides an alternative approach to consider the
stability of selfgravitating compact objects. We show that potentially unstable
regions within a configuration can be identify as a function of the difference
of propagations of sound along tangential and radial directions. In fact, it is
found that these regions could occur when, at particular point within the
distribution, the tangential speed of sound is greater than radial one.Comment: 17 pages, 8 figures, 4 new references added. typos correcte

### Equation of state and transport processes in self--similar spheres

We study the effect of transport processes (diffusion and free--streaming) on
a collapsing spherically symmetric distribution of matter in a self--similar
space--time. A very simple solution shows interesting features when it is
matched with the Vaidya exterior solution. In the mixed case (diffusion and
free--streaming), we find a barotropic equation of state in the stationary
regime. In the diffusion approximation the gravitational potential at the
surface is always constant; if we perturb the stationary state, the system is
very stable, recovering the barotropic equation of state as time progresses. In
the free--streaming case the self--similar evolution is stationary but with a
non--barotropic equation of state.Comment: 9 pages, 2 figure

### Inhomogeneous cosmologies, the Copernican principle and the cosmic microwave background: More on the EGS theorem

We discuss inhomogeneous cosmological models which satisfy the Copernican
principle. We construct some inhomogeneous cosmological models starting from
the ansatz that the all the observers in the models view an isotropic cosmic
microwave background. We discuss multi-fluid models, and illustrate how more
general inhomogeneous models may be derived, both in General Relativity and in
scalar-tensor theories of gravity. Thus we illustrate that the cosmological
principle, the assumption that the Universe we live in is spatially
homogeneous, does not necessarily follow from the Copernican principle and the
high isotropy of the cosmic microwave background.Comment: 17 pages; to appear in GR

### Radiating Shear-Free Gravitational Collapse with Charge

We present a new shear free model for the gravitational collapse of a
spherically symmetric charged body. We propose a dissipative contraction with
radiation emitted outwards. The Einstein field equations, using the junction
conditions and an ansatz, are integrated numerically. A check of the energy
conditions is also performed. We obtain that the charge delays the black hole
formation and it can even halt the collapse.Comment: 22 pages, 9 figures. It has been corrected several typos and included
several references. Accepted for publication in GR

### Gravitational collapse without a remnant

We investigate the gravitational collapse of a spherically symmetric,
inhomogeneous star, which is described by a perfect fluid with heat flow and
satisfies the equation of state $p=\rho/3$ or p=C\rho^\ga at its center.
Different from the ordinary process of gravitational collapsing, the energy of
the whole star is emitted into space. And the remaining spacetime is a
Minkowski one at the end of the process.Comment: 9 pages, 9 figures, to appear in Int. J. Theor. Phy

### AN ANALYTIC MODEL OF RADIATING SPHERICAL GRAVITATIONAL COLLAPSE

The gravitational collapse of a radiating sphere consisting of a
heat-conducting fluid with shear-free and radial motion is considered.
In the exterior of the sphere we assume Vaidya’s outgoing metric, while
in the interior we have a neutrino flux described by a pure radiation
term in the energy-momentum tensor. At first, a brief review including
some new considerations of a similar, previously studied model, is
given. Then, a new model is presented, in which the space-time interior
to the collapsing sphere is conformally flat