[SEMINARI] Shin Yoshida A simplified waveless approximation ---a poor man's way

[German Rodrigo Garcia]

A simplified waveless approximation --- a poor man's way of
including GR effects in astrophysics

Shin Yoshida
Department of Physics, Florida Atlantic University, U.S.A.

Dia: Dijous, 23 de novembre 2006
Hora: 11:00
Lloc: Seminari del departament d'Astronomia i Astrofisica

Abstract
A class of approximation of the general relativity is discussed, which
allows to include the strong gravity into the Newtonian hydrodynamic
simulation codes with minor modifications. New formulations are derived
from a trancated system of Einstein equations in the isotropic coordinate,
involves two or three potentials that satisfy elliptic equations, and are
exact for static and spherically symmetric spacetime. Radial oscilllation
of a spherically symmetric compact star is calculated for the new
formulations, and compared with the result from the exact theory as well
as the spatially conformal flat (Isenberg-Wilson-Mathews) formulation. The
new simpler formulation reproduce the frequency as accurate as the the
spatially conformal flat formulation, hence the new formulation will be
useful for investigate qualitative correction from the general
relativistic gravity with much less computational efforts.

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http://celeste.uv.es/daa/seminari.php?id=72

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