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)
d
2 –
k2A2F(y)
dt2]
,
where F(y) = –1 + y2 – 2mAy3 + e2A2y4; G(x) = 1 – x2 – 2mAx3 – e2A2x4 = –F(–x); m, e and A are parameters, and k is a constant 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].
@ Properties: Ernst
JMP(76) [singularity
and removal]; Bini
et
al CQG(05)
[geodesics, equatorial plane].
@ Interpretation: Cornish & Uttley GRG(95)
[vacuum], GRG(95) [charged]; Emparan PLB(96)ht,
NPB(97)ht/96 [string-motivated];
Pravda & Pravdova gq/02-in;
Griffiths et al CQG(06)gq.
Related Metrics > s.a. Bonnor-Swaminarayan;
Melvin Solution.
@ In de Sitter space: Podolsky & Griffiths PRD(01)gq/00;
Dias
& Lemos PRD(03);
Salti APS(05)gq
[energy].
@ Rotating: Hong & Teo CQG(05)
[new form]; Griffiths & Podolsky CQG(05)gq.
@ Other generalizations: Podolsky & Griffiths GRG(01)gq/00 [null
limit,
unbounded
acceleration]; Podolsky CzJP(02)gq [in
AdS];
Dias & Lemos
PRD(03)ht
[extremal limits].
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
23 may 2008