SOLUTIONS OF THE OPPENHEIMER-VOLKOFF-EQUATIONS INSIDE 9 8(THS) OF THESCHWARZSCHILD-RADIUS/

Authors
SMOLLER J TEMPLE B
Citation
J. Smoller et B. Temple, SOLUTIONS OF THE OPPENHEIMER-VOLKOFF-EQUATIONS INSIDE 9 8(THS) OF THESCHWARZSCHILD-RADIUS/, Communications in Mathematical Physics, 184(3), 1997, pp. 597-617
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
184
Issue
3
Year of publication
1997
Pages
597 - 617
Database
ISI
SICI code
0010-3616(1997)184:3<597:SOTOI9>2.0.ZU;2-V
Abstract
We refine the Buchdahl 9/8(ths) stability theorem for stars by describ ing quantitatively the behavior of solutions to the Oppenheimer-Volkof f equations when the star surface lies inside 9/8(ths) of the Schwarzs child radius. For such solutions we prove that the density and pressur e always have smooth profiles that decrease to zero as the radius r -- > 0, and this implies that the gravitational field becomes repulsive n ear r = 0 whenever the star surface lies within 9/8(ths) of its Schwar zschild radius.