T-spheres as a limit of Lemâıtre-Tolman-Bondi solutions
نویسنده
چکیده
In the Tolman model there exist two quite different branches of solutions generic Lemâıtre-Tolman-Bondi (LTB) ones and T-spheres as a special case. We show that, nonetheless, T-spheres can be obtained as a limit of the class of LTB solutions having no origin and extending to infinity with the areal radius approaching constant. It is shown that all singularities of T-models are inherited from those of corresponding LBT solutions. In doing so, the disc type singularity of a T-sphere is the analog of shell-crossing.
منابع مشابه
Hawking radiation from the quantum Lemâıtre–Tolman–Bondi model
Abstract In an earlier paper, we obtained exact solutions of the Wheeler–DeWitt equation for the Lemâıtre–Tolman–Bondi (LTB) model of gravitational collapse, employing a lattice regularization. In this paper, we derive Hawking radiation in non-marginally bound models from our exact solutions. We show that a non-vanishing energy function does not spoil the (approximate) Planck spectrum near the ...
متن کاملThe Possibility of Cosmic Acceleration via Spatial Averaging in Lemâıtre-Tolman-Bondi Models
We investigate the possible occurrence of a positive cosmic acceleration in a spatially averaged, expanding, unbound Lemâıtre-Tolman-Bondi cosmology. By studying an approximation in which the contribution of three-curvature dominates over the matter density, we construct numerical models which exhibit acceleration.
متن کاملA Fortran Code for Null Geodesic Solutions in the Lemâıtre-Tolman-Bondi Spacetime
This paper describes the Fortran 77 code SIMU, version 1.1, designed for numerical simulations of observational relations along the past null geodesic in the LemâıtreTolman-Bondi (LTB) spacetime. SIMU aims at finding scale invariant solutions of the average density, but due to its full modularity it can be easily adapted to any application which requires LTB’s null geodesic solutions. In versio...
متن کاملTwo–Component Dust in Spherically Symmetric Motion
Two components of spherically symmetric, inhomogeneous dust penetrating each other are introduced as a generalization of the well–known Tolman–Bondi dust solution. The field equations of this model are formulated and general properties are discussed. Special solutions with additional symmetries — an extra Killing– or homothetic vector — and their matching to the corresponding Tolman–Bondi solut...
متن کاملSolution of Vacuum Field Equation Based on Physics Metrics in Finsler Geometry and Kretschmann Scalar
The Lemaître-Tolman-Bondi (LTB) model represents an inhomogeneous spherically symmetric universefilledwithfreelyfallingdustlikematterwithoutpressure. First,wehaveconsideredaFinslerian anstaz of (LTB) and have found a Finslerian exact solution of vacuum field equation. We have obtained the R(t,r) and S(t,r) with considering establish a new solution of Rµν = 0. Moreover, we attempttouseFinslergeo...
متن کامل