[3] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
来源:
PHYSICAL REVIEW D
|
2007年
/
75卷
/
02期
关键词:
D O I:
10.1103/PhysRevD.75.024036
中图分类号:
P1 [天文学];
学科分类号:
0704 ;
摘要:
We present a Dirac quantization of generic single-horizon black holes in two-dimensional dilaton gravity. The classical theory is first partially reduced by a spatial gauge choice under which the spatial surfaces extend from a black or white hole singularity to a spacelike infinity. The theory is then quantized in a metric representation, solving the quantum Hamiltonian constraint in terms of (generalized) eigenstates of the ADM mass operator and specifying the physical inner product by self-adjointness of a time operator that is affinely conjugate to the ADM mass. Regularity of the time operator across the horizon requires the operator to contain a quantum correction that distinguishes the future and past horizons and gives rise to a quantum correction in the hole's surface gravity. We expect a similar quantum correction to be present in systems whose dynamics admits black hole formation by gravitational collapse.