23,916 research outputs found
On the gravitomagnetic effects in cylindrically symmetric spacetimes
Using gyroscopes we generalize results, obtained for the gravitomagnetic
clock effect in the particular case when the exterior spacetime is produced by
a rotating dust cylinder, to the case when the vacuum spacetime is described by
the general cylindrically symmetric Lewis spacetime. Results are contrasted
with those obtained for the Kerr spacetime.Comment: 11 pages Latex, to appear in J.Math.Phy
Non-spherical sources of static gravitational fields: investigating the boundaries of the no-hair theorem
A new, globally regular model describing a static, non spherical gravitating
object in General Relativity is presented. The model is composed by a vacuum
Weyl--Levi-Civita special field - the so called gamma metric - generated by a
regular static distribution of mass-energy. Standard requirements of physical
reasonableness such as, energy, matching and regularity conditions are
satisfied. The model is used as a toy in investigating various issues related
to the directional behavior of naked singularities in static spacetimes and the
blackhole (Schwarschild) limit.Comment: 10 pages, 2 figure
The Gibbs paradox, the Landauer principle and the irreversibility associated with tilted observers
It is well known that, in the context of General Relativity, some spacetimes,
when described by a congruence of comoving observers, may consist in a
distribution of a perfect (non-dissipative) fluid, whereas the same spacetime
as seen by a "tilted"' (Lorentz-boosted) congruence of observers, may exhibit
the presence of dissipative processes. As we shall see, the appearence of
entropy producing processes are related to the tight dependence of entropy on
the specific congruence of observers. This fact is well illustrated by the
Gibbs paradox. The appearance of such dissipative processes, as required by the
Landauer principle, are necessary, in order to erase the different amount of
information stored by comoving observers, with respect to tilted ones.Comment: 10 pages Latex. Invited contribution for the special issue "Advances
in Relativistic Statistical Mechanics" published in Entrop
Collapsing Spheres Satisfying An "Euclidean Condition"
We study the general properties of fluid spheres satisfying the heuristic
assumption that their areas and proper radius are equal (the Euclidean
condition). Dissipative and non-dissipative models are considered. In the
latter case, all models are necessarily geodesic and a subclass of the
Lemaitre-Tolman-Bondi solution is obtained. In the dissipative case solutions
are non-geodesic and are characterized by the fact that all non-gravitational
forces acting on any fluid element produces a radial three-acceleration
independent on its inertial mass.Comment: 1o pages, Latex. Title changed and text shortened to fit the version
to appear in Gen.Rel.Grav
Relativistic gravitational collapse in comoving coordinates: The post-quasistatic approximation
A general iterative method proposed some years ago for the description of
relativistic collapse, is presented here in comoving coordinates. For doing
that we redefine the basic concepts required for the implementation of the
method for comoving coordinates. In particular the definition of the
post-quasistatic approximation in comoving coordinates is given. We write the
field equations, the boundary conditions and a set of ordinary differential
equations (the surface equations) which play a fundamental role in the
algorithm. As an illustration of the method, we show how to build up a model
inspired in the well known Schwarzschild interior solution. Both, the adiabatic
and non adiabatic, cases are considered.Comment: 14 pages, 11 figures; updated version to appear in Int. J. Modern
Phys.
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