Bondian frames to couple matter with radiation

Details Bondian frames to couple matter with radiation Bondian frames to couple matter with radiation

2010-02-22

arxiv.org/abs/1002.4168v1

General Relativity and Gravitation, 42, 1845 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 6 figures; to appear in General Relativity and Gravitation

Scientific paper

A study is presented for the non linear evolution of a self gravitating distribution of matter coupled to a massless scalar field. The characteristic formulation for numerical relativity is used to follow the evolution by a sequence of light cones open to the future. Bondian frames are used to endow physical meaning to the matter variables and to the massless scalar field. Asymptotic approaches to the origin and to infinity are achieved; at the boundary surface interior and exterior solutions are matched guaranteeing the Darmois--Lichnerowicz conditions. To show how the scheme works some numerical models are discussed. We exemplify evolving scalar waves on the following fixed backgrounds: A) an atmosphere between the boundary surface of an incompressible mixtured fluid and infinity; B) a polytropic distribution matched to a Schwarzschild exterior; C) a Schwarzschild- Schwarzschild spacetime. The conservation of energy, the Newman--Penrose constant preservation and other expected features are observed.

Affiliated with

Also associated with

No associations

Rating

Bondian frames to couple matter with radiation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bondian frames to couple matter with radiation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bondian frames to couple matter with radiation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-374015