stationary black holes
future
certain limits
singularity
area
components
It is assumed that the singularities which occur in gravitational collapse are not visible from outside but are hidden behind an event horizon. This means that one can still predict the future outside the event horizon. A black hole on a spacelike surface is defined to be a connected component of the region of the surface bounded by the event horizon. As time increase, black holes may merge together but can never bifurcate. A black hole would be expected to settle down to a stationary state. It is shown that a stationary black hole must have topologically spherical boundary and must be axisymmetric if it is rotating. These results together with those of Israel and Carter go most of the way towards establishing the conjecture that any stationary black hole is a Kerr solution. Using this conjecture and the result that the surface area of black holes can never decrease, one can place certain limits on the amount of energy that can be extracted from black holes.
general relativity
results
amount
energy
true
article
event horizon
amount of energy
limit
horizon
1972-06
surface area
stationary state
Kerr solution
152-166
Black holes in general relativity
gravitational collapse
increase
conjecture
solution
time increases
articles
spacelike surfaces
way
black holes
region
holes
relativity
Israel
collapse
surface
Carter
state
2022-10-01T06:26
1972-06-01
https://scigraph.springernature.com/explorer/license/
https://doi.org/10.1007/bf01877517
Hawking
S. W.
Institute of Theoretical Astronomy, University of Cambridge, Cambridge, England
Institute of Theoretical Astronomy, University of Cambridge, Cambridge, England
Astronomical and Space Sciences
Physical Sciences
pub.1042906989
dimensions_id
Springer Nature
0010-3616
1432-0916
Communications in Mathematical Physics
25
doi
10.1007/bf01877517
2
Springer Nature - SN SciGraph project