[SEMINARI] Shin Yoshida A simplified waveless approximation --- a poor man's way of,including GR effects in astrophysics

[Enric Marco]

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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