Mathematics – Mathematical Physics
Scientific paper
Sep 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cmaph..88..295g&link_type=abstract
Communications in Mathematical Physics, Volume 88, Issue 3, pp.295-308
Mathematics
Mathematical Physics
127
Scientific paper
We extend Witten's proof of the positive mass theorem at spacelike infinity to show that the mass is positive for initial data on an asymptotically flat spatial hypersurface Σ which is regular outside an apparent horizon H. In addition, we prove that if a black hole has electromagnetic charge, then the mass is greater than the modulus of the charge. These results are also valid for the Bondi mass at null infinity. Finally, in the case of the Einstein equation with a negative cosmological constant, we show that a suitably defined mass is positive for data on an asymptotically anti-de Sitter surface Σ which is regular outside an apparent horizon.
Gibbons Gary W.
Hawking Stephen W.
Horowitz Gary. T.
Perry Malcolm J.
No associations
LandOfFree
Positive mass theorems for black holes 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 Positive mass theorems for black holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positive mass theorems for black holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1591615