C-Metric| C-Metric |
In General
* Idea: A solution of
Einstein-Maxwell theory, describing two oppositely charged black holes
uniformly accelerating in opposite directions.
* Line element:
ds2 = A−2 (x+y)−2 [dy2/F(y) + dx2/G(x) + k−2G(x) dφ2 − k2A2 F(y) dt2] ,
where F(y) = −1 + y2 − 2mA y3 + e2A2 y4; G(x) = 1 − x2 − 2mA x3 − e2A2 x4 = −F(−x); m, e and A are parameters, and k is a constant whose value is fixed by regularity conditions on the metric.
References
@ Discovery: Levi-Civita RAL(17);
Newman & Tamburino JMP(61).
@ General references:
Kinnersley & Walker PRD(70);
Ehlers & Kundt in(72) [name];
Ashtekar & Dray CMP(81);
Dray GRG(82);
Bonnor CQG(90);
Hong & Teo CQG(03) [new form];
Bini et al PRD(04)gq [perturbations, gravitational Stark effect].
@ Geodesics: Bini et al CQG(05)-a1408 [in the equatorial plane];
Lim PRD(21)-a2011 [null, with cosmological constant];
> s.a. types of geodesics.
@ Properties:
Ernst JMP(76) [singularity and removal];
Sládek & Finley CQG(10) [asymptotic properties].
@ Matter: Bini et al CQG(15)-a1509 [massless Dirac particles].
@ Interpretation:
Cornish & Uttley GRG(95) [vacuum],
GRG(95) [charged];
Emparan PLB(96)ht,
NPB(97)ht/96 [string-motivated];
Pravda & Pravdová gq/02-in;
Griffiths et al CQG(06)gq.
Related Metrics
> s.a. Bonnor-Swaminarayan; Melvin Solution.
@ In de Sitter space, with cosmological constant:
Podolský & Griffiths PRD(01)gq/00;
Dias & Lemos PRD(03);
Salti APS(05)gq [energy];
Chen et al PRD(15)-a1501.
@ Rotating: Hong & Teo CQG(05) [new form];
Griffiths & Podolský CQG(05)gq;
Bini et al JMP(08)-a1408 [massless field perturbations].
@ Other generalizations:
Podolský & Griffiths GRG(01)gq/00 [null limit, unbounded acceleration];
Podolský CzJP(02)gq [in anti-de Sitter spacetime];
Dias & Lemos PRD(03)ht [extremal limits];
Willeman & Beke PRD(10)-a1001 [expanding perfect fluids];
Culetu JPCS(17)-a1409 [regular].
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 9 jan 2021