Models
for Spacetime Topology Change| Models
for Spacetime Topology Change |
Dynamics: Generalized Einstein Equation > s.a. models
in canonical general relativity [degenerate]; self-dual solutions
of general relativity.
* Idea: Write down equations
on a spacelike hypersurface which reduce to the Einstein equation when the
variables give rise to allowed data for the Einstein equation, but which otherwise
could
describe more general situations than regular, non-degenerate metrics.
* Example: There is a hope, not yet realized, that the Ashtekar variables
or related ones, could work.
@ Dynamics of spacetime topology: Spaans NPB(97)gq/96.
Dynamics: Quantum Topology Change > s.a. spacetime
foam.
* In quantum cosmology:
Probabilities of nucleation can be calculated for various topologies and dimensions;
Then
one can compare probabilities of different outcomes
with the same
or the same E.
@ From quantum cosmology: Embacher CQG(96)gq/95, gq/95-in;
Shvedov PLB(96)gq,
Rubakov & Shvedov PLB(96)gq, gq/96-in
[wormholes]; De Lorenci et al PRD(97)gq [canonical,
FRW]; Costa PRD(00)gq.
@ From quantum mechanics: Balachandran et al NPB(95)gq,
IJMPA(00)ht/99 [2+1-dimensional
geons]; Hadley
IJTP(99)gq; > s.a.
topology in physics.
@ Quantization of topology: Isham CQG(89);
Isham, Kubyshin & Renteln CQG(90).
@ And black hole info, unitarity: Barbón & Rabinovici ht/05-in;
Hsu PLB(07)ht/06 [baby
universes].
@ Related topics: Peleg MPLA(93)
[from third quantization]; Ding et al PLB(95)gq/94,
JMP(96)gq/95 [quantum
tunneling]; Yu & Ford PRD(99)gq [fluctuations];
Martin et al JHEP(05)gq/00,
Pinto-Neto et al IJMPA(05)
[Green function, FRW models]; Hartnoll CQG(03)ht [and
compactification]; Dou & Ydri NPB(07)
[quantum instability of gauge theory on
fuzzy space].
Specific Spacetimes
@ Trouser world: Kundt CMP(67);
DeWitt in(84), in(85); Anderson & DeWitt
FP(86);
Anderson PLB(88), PRD(88);
Manogue et al Pra(88);
Daughton et al in-GR12; Harris & Dray CQG(90);
Gratus & Tucker
JMP(95)gq [particle
production]; Braunstein gq/96.
@ Pair creation: Sorkin IJTP(86); Dowker & García CQG(98)gq/97;
Dowker & Surya PRD(98)gq/97.
@ Other: Borde PRD(97)gq/96 [regular
black holes]; Bousso PRD(98)ht [proliferation
of de Sitter space]; Friedman CQG(98)
[no past boundary];
Ishihara et al CQG(06)
[coalescing black holes in 5D].
Topological Censorship
* Idea: Every causal
curve in the domain of outer communications of scri having endpoints on scri
can be deformed to scri; Therefore, an observer following one of those causal
curves
will not
go through
and probe a region of topology change.
* Results: Holds for a simply connected null scri, and under reasonable
conditions for timelike scri.
@ General references: Friedman et al PRL(93)gq;
Schleich & Witt in(94)gq/99;
Browdy & Galloway JMP(95)
[and black holes]; Burnett PRD(95)gq;
Jacobson & Venkataramani
CQG(95)gq/94;
Galloway CQG(96), & Woolgar CQG(97)gq/96;
Friedman & Higuchi AdP(06), a0801 [rev]; > s.a. spacetime
subsets [doc].
@ In asymptotically AdS spacetime: Galloway et al PRD(99)gq [black
holes],
PLB(01)ht/99 [AdS-cft].
Types of Theories and Models > s.a. spacetime
foam;
topology change [degenerate]; wormholes [scale-dependent
topology].
@ 2D: Ambjørn et al a0802 [causal dynamical triangulations].
@ 3D general relativity: Witten NPB(89);
Fujiwara et al PRD(91),
CQG(92)
[quantum, with particles as defects]; Low CQG(92);
Carlip & Cosgrove
JMP(94)gq;
Ionicioiu gq/97;
Nesterov GRG(97)gq/04 [with
non-abelian Higgs].
@ Lattice quantum gravity: Carfora & Marzuoli CQG(92).
@ Regge calculus: Birmingham GRG(96).
@ Higher dimensions: Brill FP(86),
Ionicioiu gq/97 [Kaluza-Klein];
Mazur NPB(87)
[instability of toroidally compactified higher-dimensional Minkowski]; Kol JHEP(05)ht/02;
Gibbons & Ishibashi
CQG(04)ht [brane
world]; Butcher & Saffin JHEP(07)
[compactified spacetimes].
@ String/M-theory: Aspinwall et al PLB(93)ht,
NPB(94)ht/93,
ht/93-in,
JMP(94);
Greene et al JMP(01)ht/00;
Aspinwall JHEP(04)
[D-brane decay and Zariski topology]; Adams et al JHEP(05)ht [winding
tachyons].
@ Axion-induced: Giddings & Strominger NPB(88),
NPB(88)
[and quantum coherence].
@ Building blocks: Alty JMP(95).
@ And free quantum field theory: Marolf PLB(97)gq/96;
Kim CQG(99)ht.
@ Non-commutative, fuzzy physics: Balachandran & Kürkçüoglu IJMPA(04)ht/03;
Gratus JGP(04)
[non-commutative algebras, sphere-torus]; de Albuquerque et al JHEP(04)ht [boundary
conditions for Dirac operator].
@ Other models: Whiston IJTP(73),
IJTP(74), IJTP(74), IJTP(75)
[cobordism between whole spacetimes]; Finkelstein & Rodriguez IJTP(84);
Kandrup & Mazur MPLA(90);
Peleg MPLA(91)
[change of dimension]; Magnon
JMP(91);
Krasnikov GRG(95)
[check!]; Ionicioiu CQG(98)
[Turaev-Viro theory]; Kirillov in(05)ap/04 [modified
field theory and cosmology].
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27 jun 2008