Other
Scientific paper
Nov 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.247..244o&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. 247, NO.2/NOV15, P. 244, 1990
Other
15
Scientific paper
We elucidate the physical states of rotating uncharged black holes, and present them graphically. All of a hole's quantities can be regarded as not only mechanical but also thermodynamical, and therefore we can express any one of them in terms of two other independent quantities. If we choose, e.g., entropy S and temperature T as two such independent quantities, we can plot contours of constant J, Ω and M in the S-T plane, where J, Ω and M are the hole's angular momentum, angular velocity and mass, respectively. The hole's `heat capacities' for constant J and Ω are defined by CJ = T(∂S/∂T)J and CΩ = T(∂S/∂T)Ω. The domain of existence for Kerr holes is restricted by abscissa T=0 for extreme Kerr holes and by the curve T=(ħC5/16πκBGS)1/2 for Schwarzschild holes. If we also depict contours of constant T, S and M in the J-Ω plane, Schwarzschild holes are concentrated to the origin and extreme Kerr holes are distributed on the curve Ω = (C5/4GJ)1/2. The gradients of constant S and T curves are related to CJ and CΩ by, e.g., (∂Ω/∂J)T = (CJ/CΩ) (∂Ω/∂J)S. One can easily see that CΩ <0 and (∂Ω/∂J)S > 0 always, and CJ and (∂Ω/∂J)T diverge to infinity at h =(2/31/2-1)1/2, where h= (2πκBJ/ħS) = [1 + 2πκBT/ħΩ)2]1/2 - (2πκBT/ħΩ. Divergence of CJ simply indicates that when one pours entropy, i.e. irreducible mass, down an extreme Kerr hole, its temperature begins to increase from near null, reaches the extremum where 1/CJ = 0, and then decreases approaching the Schwarzschild line T ∝ S-1/2. These state diagrams will be useful to show the evolutional as well as thermodynamical states of Kerr holes, and some evolutional paths are presented.
Kaburaki Osamu
Okamoto Isao
No associations
LandOfFree
Thermodynamical and Evolutional Properties of Kerr 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 Thermodynamical and Evolutional Properties of Kerr Black-Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamical and Evolutional Properties of Kerr Black-Holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-841675