Wormhole
Solutions| Wormhole
Solutions |
In General > s.a. constraints
for general relativity [gluing
solutions]; electromagnetism in curved spacetime; kaluza-klein
models.
* 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)dec
[connecting Reissner-Nordström spacetimes]; Teo PRD(98)gq.
@ With cosmological constant: Lemos et al PRD(03)gq [and
rev]; Maldacena & Maoz JHEP(04)
[in anti-de Sitter];
@ Other cosmological: Kim PRD(96)
[in FRW spacetime, traversable, non-exotic matter]; Molina-Paris & Visser PLB(99)gq/98 [FRW
spacetime from bounce]; Mirza et al IJMPD(06)gq;
Maeda et al PRD(09)-a0901 [dynamical];
Ebrahimi & Riazi ASS-a0905 [(n+1)-dimensional].
@ Rotating solutions:
Khatsymovsky PLB(98)gq;
Kuhfittig PRD(03)gq/04;
Kashargin
& Sushkov G&C(08)-a0710,
PRD(08)
[scalar with negative kinetic energy].
@ 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 JHEP(08)-a0805 [asymptotically
AdS, with scalar]; González et al CQG(09)-a0806,
CQG(09)-a0806 [with
ghost scalar field].
@ Lorentzian: Morris & Thorne AJP(88)may;
Morris et al PRL(88);
Visser NPB(89)-a0809, PRD(89)-a0809, 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)aug
[visual appearance]; Nandi et al NPCS(06)gq/04 [viability];
Nandi & Zhang PRD(04),
et al PRD(04)
[stringy]; Kuhfittig a0908 [and quantum field theory constraints].
@ Non-existence results: Saa MPLA(99)gq;
Arellano & Lobo CQG(06)
[with non-linear electromagnetism]; Kuhfittig a0904 [with
spacetime-dependent cosmological constant].
@ 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].
@ Other types: Twamley & Page NPB(92)
[imaginary]; Diemer & Hadley CQG(99)gq [with
topological charge]; Maeda PRD(09)-a0811 [formation
model].
Traversability
@ General references: 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 solutions: 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 field], gq/02-in
[+ electromagnetism + scalar field]; 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)
[with Chaplygin gas]; Böhmer et al PRD(07)-a0708 [conformally
symmetric]; Kuhfittig a0802-in
[with Chaplygin gas]; Shatskiy et al PU(08)-a0810 [exact
solution]; Montelongo & Zannias CQG(09)
[initial-value approach]; Lobo & Mimoso a0907.
@ Traversable, with phantom matter: Lobo PRD(05)gq, PRD(05);
Kuhfittig CQG(06)gq,
GRG-a0904.
In Other Theories of Gravity > s.a. Lovelock
Gravity.
@ Brans-Dicke theory: Coule MPLA(98),
Agnese & La
Camera ht/01-in;
Lu et al NCB(03);
Bhadra & Sarkar MPLA(05);
Bhattacharya et al CQG-a0910.
@ Higher-order theories: Furey & DeBenedictis CQG(05)gq/04 [Rn gravity];
Richarte & Simeone PRD(07)-a0710 [with
ordinary matter]; Lobo & Oliveira a0909 [f(R) gravity].
@ With phantom energy: Zaslavskii PRD(05);
Rahaman et al PLB(06), PS(07)-a0705; González
et al PRD(09)-a0906.
@ 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
spacetime and big rip]; Nashed APPA(07)gq/05 [teleparallel];
Chiodaroli & Gutperle a0901 [N =
2 supergravity]; Dehghani & Hendi GRG(09)-a0903 [Gauss-Bonnet-Born-Infeld].
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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