Event
Horizons| Event
Horizons |
In General > s.a. [black holes]; boundaries and holography
in field theory; quantum
spacetime; Rigidity; Trapped
Surface.
$ Of a world-line: The
past (future) event horizon is the boundary of the future (past) of the world-line.
$ Of a spacetime: The
boundary of the past of 
+, 
= 
(I –(+))
(the future event horizon is the boundary of the future of –);
It is a global concept, defining from which points one can
reach
(null) infinity.
* Relationships: Its
existence is equivalent to – (+)
being spacelike (> see de sitter spacetime).
* Properties: They are
always null hypersurfaces; Their area always increases; They either coincide
or are outside the apparent horizon (not
true?).
* Remark: Being global
properties, they are in general difficult to calculate, except when they can
be shown to
coincide with a Killing horizon or some other
locally defined surface. [Defined by retarded time u = 
.]
Geometry and Topology > s.a. black
holes; black-hole
types [toroidal]; topology change [censorship]
@ Geometry: Chrusciel et al AHP(01)gq/00 [area], JGP(02)gq/00 [differentiability],
CQG(06)gq/05 [no
degenerate components].
@ Topology: Huang & Liang PLA(95) [torus]; Siino PRD(98)gq/97, PRD(99)gq/97.
References > s.a. black-hole
phenomenology; gravitational
thermodynamics.
@ And thermodynamics: Gibbons & Hawking PRD(77);
Fulling & Ruijsenaars
PRP(87);
Davies CQG(87),
CQG(88), AIHP(88),
comment Raychaudhuri CQG(90);
Jensen PRD(95)
[stability]; Massar & Parentani NPB(00)gq/99;
Padmanabhan IJMPD(04)gq [and
gravity as elasticity]; Zhou et al PLB(07)
[second law in accelerating universe]; > s.a. horizons.
@ Quantum effects: Hájícek PLB(86);
Padmanabhan PLB(86);
Sorkin in(96)gq/97 [wrinkling
below threshold scale]; Chapline et al IJMPA(03)gq/00 [phase
transition]; 't Hooft gq/04-in
[and quantum information]; > s.a. quantum black
holes.
@ Other properties: Bergamin et al CQG(06)ht/05 [physical-degree-of-freedom-to-gauge
conversion].
@ Numerical methods: Libson et al PRD(96); > s.a. models
in numerical general relativity.
@ Cosmological: Kaloper et al PLB(04) [observational implications].
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send feedback and suggestions to bombelli at olemiss.edu – modified 21
jul
2009