Wormhole
Solutions| Wormhole
Solutions |
In General > s.a. constraints
for general relativity [gluing
solutions]; electromagnetism in curved spacetime; kaluza-klein.
* Metric: For a static,
spherically symmetric wormhole connecting two asymptotically flat (or AdS) regions,
ds2 = –a2(l)
dt2 + dl2 + r2(l)
d
2 , or ds2 = –exp{–2
(r)}dt2 +
[1–b(r)/r]–1dr2 + r2d2 ,
where (r)
is the "redshift function" (e.g., (r)
= 0) and b(r)
the "shape function" (e.g., b(r) = rt2/r,
r2(l) = r2t +
l2).
* Tolman wormhole: A
bounce replacing the initial singularity; > s.a. Tolman
Solution.
@ Existence, uniqueness: Jungman & Wald PRD(89); Ruback CQG(89).
@ Specific solutions: Frolov et al PLB(89);
González-Díaz
PRD(89);
Keay & Laflamme PRD(89);
Laflamme pr(89); Moss pr(89); González-Díaz
MPLA(90);
Harris AJP(93)
[connecting RN spacetimes]; Molina-Paris & Visser PLB(99)gq/98 [FRW
from bounce]; Teo PRD(98)gq;
Lemos et al PRD(03)gq [+
cosmological constant, and rev];
Maldacena & Maoz JHEP(04)
[in AdS].
@ Rotating solutions:
Khatsymovsky PLB(98)gq;
Kuhfittig PRD(03)gq/04; Kashargin
& Sushkov a0710-GRG
[scalar with negative KE].
@ Analysis of solutions: Hochberg & Visser PRD(97)gq [traversable];
Visser & Hochberg gq/97-in.
@ Stability: Vollick PRD(97)gq/98,
Bronnikov & Grinyok
G&C(01)gq/02 [with
scalar]; Shinkai & Hayward PRD(02)gq [numerical];
Correa & Troncoso a0805 [asymptotically AdS, with scalar].
@ Traversibility: Ford & Roman PRD(96)
[and quantum field theory]; Khatsymovsky
PLB(97)gq/96;
Konstantinov gq/97 [mixed
boundary problem]; Ida & Hayward PLA(99)gq [negative
energy]; Hayward PRD(02)gq [ghost
radiation]; Kuhfittig PRD(02)gq/04,
PRD(03)gq/04,
gq/05,
Fewster & Roman PRD(05)gq [and
exotic matter]; Zaslavskii PRD(07)-a0707 [minimal
violation of nec].
@ Traversable: Anchordoqui et al MPLA(00)gq/99 [scalar-tensor];
Krasnikov PRD(00)gq/99 [massless 
, 
,
or ];
Hayward gq/02-in;
Armendáriz-Picón
PRD(02)gq;
Bronnikov & Grinyok G&C(01)gq/02 [+
scalar], gq/02-in
[+ electromagnetism + scalar]; Hellaby & Krasinski PRD(02)gq [Szekeres
wormhole]; Visser et al PRL(03)
[small E violations];
Lobo CQG(04)gq [shells];
Koyama & Hayward PRD(04)gq,
Hayward & Koyama PRD(04)
[from Schwarzschild]; Kim et al PRD(04)
[in 2+1]; Lobo PRD(06)
[Chaplygin]; Böhmer et al PRD(07)-a0708 [conformally
symmetric]; Kuhfittig a0802-in
[Chaplygin gas].
@ Traversable, with phantom matter: Lobo PRD(05)gq, PRD(05);
Kuhfittig CQG(06)gq.
@ Lorentzian: Morris & Thorne AJP(88);
Morris et al PRL(88);
Visser
NPB(89), PRD(89), PLB(90), PRD(90);
Abbott & Farhi NPB(90);
Hochberg & Kephart
PLB(91),
PRL(93); Kar & Sahdev PRD(96);
Rosales IJMPA(98)
[vacuum decay]; Cataldo et al PRD(02)
[n-dimensional, self-dual]; Dadhich et al PRD(02)gq/01 [R =
0]; Müller AJP(04)
[visual appearance]; Nandi et al NPCS(06)gq/04 [viability];
Nandi & Zhang PRD(04),
et al PRD(04)
[stringy].
@ Non-existence results: Saa MPLA(99)gq;
Arellano & Lobo CQG(06)
[with non-linear electromagnetism].
@ 2+1: Carlip pr(90); Åminneborg et al CQG(98)gq/97,
CQG(99)gq/98;
Brill gq/99-in;
Larrañaga a0706,
JGPO(07)-a0707 [agujeros
de gusano].
@ Cosmological background: Kim PRD(96)
[in FRW, traversable, non-exotic matter]; Mirza et al IJMPD(06)gq [in
FRW].
@ Other types: Twamley & Page NPB(92) [imaginary]; Diemer & Hadley
CQG(99)gq [with
topological charge].
In Other Theories of Gravity
@ Brans-Dicke theory: Coule MPLA(98),
Agnese & La
Camera ht/01-in;
Lu et al NCB(03);
Bhadra & Sarkar MPLA(05).
@ Higher-order theories: Furey & DeBenedictis CQG(05)gq/04 [Rn gravity];
Richarte & Simeone PRD(07)-a0710 [with ordinary matter].
@ Other theories: Anchordoqui MPLA(98)gq/96 [with
torsion]; Kim gq/97 [Euclidean
Taub model], NPB(98)ht/97 [axionic], NPB(98)ht/97 [in
Einstein-Yang-Mills]; Vollick CQG(99)
[string theory];
Faraoni & Israel PRD(05)gq/05 [FRW
and big rip]; Nashed APPA(07)gq/05 [teleparallel];
Zaslavskii PRD(05),
Rahaman et al PLB(06), PS(07)-a0705 [with
phantom
energy].
Similar Spacetimes > s.a. causality
violations [warp drive].
@ Krasnikov tube: Krasnikov PRD(98)gq/95;
Everett & Roman PRD(97)gq.
@ Analogs: Nandi et al gq/04 [acoustic].
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12 jun 2008