Gravitational Instantons |
In General
* Idea: Non-singular,
complete solutions to the Euclideanized vacuum Einstein equation with or
without a cosmological constant, i.e., regular, real, Ricci-flat or Einstein
Riemannian manifolds; They are used for calculating tunneling probability
amplitudes in semiclassical quantum cosmology, for example in scenarios
in which the universe tunnels out of nothing.
* Applications: Since
they represent local minima of the Euclideanized action, they are used in
the path-integral approach to approximate amplitudes by perturbing around
them; They are also used to deduce thermodynamic properties of black holes.
Special Solutions > s.a. BF theory [Plebański gravity];
boundary proposals in quantum cosmology.
@ Taub-Bolt: Mars & Simon JGP(99)gq/98 [uniqueness];
Fatibene et al AP(00)gq/99 [entropy];
Garfinkle & Mann CQG(00) [entropy];
Awad CQG(06) [higher-dimensional].
@ Inflationary universes: Firouzjahi et al JHEP(04)ht [modified Hartle-Hawking wave function in brane world].
@ Bianchi models: Barrow et al CQG(00)gq/99 [VI0 and VII0];
Saffin PLB(99)gq [IX];
Page a0912 [1978 conference talk].
@ Asymptotically flat:
Etesi PLB(06) [topology];
Etesi & Jardim CMP(09) [moduli spaces of self-dual connections];
Cho & Teo PLB(11)-a1107 [two-parameter family].
@ Black hole pair creation:
Branoff & Brill gq/98-fs;
Booth & Mann PRL(98)gq,
NPB(99)gq/98 [charged, rotating];
> s.a. quantum black holes.
@ With matter / Kaluza-Klein theory: Copeland et al JHEP(00)ht [scalar];
Gray & Copeland JHEP(01)gq [scalar + form in higher dimensions].
@ In quantum cosmology:
Bousso & Linde PRD(98)gq;
Garriga PRD(00)ht/98,
ht/98;
Turok PLB(99)gq [stability of Minkowski spacetime];
Blanco-Pillado et al JCAP(12)-a1104 [quantum creation of an open universe from nothing].
@ Torsional instantons: Kaul & Sengupta PRD(14)-a1411 [Giddings-Strominger wormhole and Nieh-Yan topological index];
> s.a. dark energy models.
@ Singular instantons: Vilenkin PRD(98)ht;
Hashimoto PRD(01) [action];
Kirklin et al PRD(01) [made regular];
> s.a. inflation [from quantum cosmology].
@ In supergravity: Hawking & Pope NPB(78);
Kaya JHEP(99)ht [AdS];
Chiodaroli & Gutperle PRD(09)-a0901 [N = 2].
@ Related topics: D'Auria & Regge NPB(82);
Nergiz & Saclioglu PRD(96)ht/95 [and foam];
Nutku PRL(96) [and minimal surfaces];
Nutku et al CQG(97);
Hunter PRD(99)gq/98 [U(1) symmetry, NUT charge];
Nutku & Sheftel gq/01 [axisymmetric, "heavenly"];
Demetrian PS(06)gq/04 [Coleman-de Luccia, second-order];
Yang & Salizzoni PRL(06)ht/05 [from non-commutative gauge theory instantons];
Bourliot et al PRD(10)-a0906 ["spatially homogeneous"],
CQG(10) [G3-homogeneous];
Biquard & Minerbe CMP(11)-a1005;
Mercuri PRD(11)-a1007 [with the Holst action, and gravitational parity violation];
Birkandan IJMPC(08)-a0711 [Maple11+GRTensorII symbolic calculator using the Newman-Penrose formalism].
References > s.a. null infinity [BMS group];
unimodular gravity.
@ General:
Gibbons & Hawking PRD(77);
Hawking PLA(77),
in(79);
Gibbons & Perry PRD(80);
Pope in(81);
Rubakov & Tinyakov PLB(88);
Mellor & Moss CQG(89);
Lorenz-Petzold PTP(89);
't Hooft NPB(89);
Ó Murchadha & Shanahan PRL(93);
Marathe & Martucci NCB(98).
@ New variables: Samuel CQG(88);
Capovilla et al CQG(90);
Torre PLB(90);
Chang & Soo ht/92;
Ishihara et al IJMPA(96)gq/95.
@ NP formalism: Goldblatt GRG(94);
Aliev & Nutku gq/98 [hyper-Kähler structure].
@ Entropy, topology: Liberati & Pollifrone PRD(97)ht.
@ And black-hole radiation: Massar & Parentani PRL(97)gq.
@ Uniqueness results: Simon CQG(95)gq [Kerr spacetime].
@ Perturbations: Torre PRD(90);
Dunne & Wang PRD(06) [bounce with scalar field].
@ And the cosmological constant: Xue IJMPA(09)ht/06;
Cyriac a1511.
@ Applications: Moss PLB(92);
Allen AIP(99)ap [in cosmology];
Marochnik G&C(13)-a1204 [tunneling from "nothing" into de Sitter space and dark energy].
@ Related topics: Jibu & Yasue PLA(92) [and Euclidean quantum mechanics];
Brill & Pirk in(93)gq [pictures];
Bakas et al PLB(98) [octonionic];
Ratcliffe & Tschantz CQG(98) [constant curvature],
CQG(00) [spin and complex structures],
CQG(00)gq [growth with V and Hartle-Hawking wave function].
> Related topics:
see quantum field theory in curved backgrounds [particle creation].
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 3 aug 2019