Observer Time as a Coordinate in Relativistic Spherical Hydrodynamics
1966; IOP Publishing; Volume: 143; Linguagem: Inglês
10.1086/148525
ISSN1538-4357
AutoresJr. Hernandez Walter C., Charles W. Misner,
Tópico(s)Cosmology and Gravitation Theories
Resumoview Abstract Citations (205) References (14) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Observer Time as a Coordinate in Relativistic Spherical Hydrodynamics Hernandez, Walter C., Jr. ; Misner, Charles W. Abstract It is shown that space-time events at which 2Um/c3R> 1 holds in a spherically symmetric, inward- moving fluid satisfy Penrose's criterion for a "trapped surface" so that light rays leading from these events can never escape to infinity but instead terminate in a singularity. [Here is an invariantly defined "circumference" coordinate and rn(r,t) is a function obtained from a certain curvature invariant.J The singularities which follow the formation of such a "trapped surface" or "Schwarzschild surface," although unobservable in principle, halt numerical computations of spherically symmetric hydrodynamics problems using a diagonal metric before the more slowly moving regions outside the Schwarzschild surface have completed their observable motions. By using a retarded time coordinate ` we reformulate the relativistic equations in such a way that time dilation effects prevent the formation of Schwarzschild surfaces at finite values of s# while allowing all observable aspects of the dynamics to proceed. The treatment of energy transfer by radially outward-moving radiation is also greatly simplified by the use of this retarded time coordinate. Publication: The Astrophysical Journal Pub Date: February 1966 DOI: 10.1086/148525 Bibcode: 1966ApJ...143..452H full text sources ADS |
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