Electromagnetism
in Curved Spacetime| Electromagnetism
in Curved Spacetime |
In General > s.a. astrophysics;
black hole and gravitational
phenomenology;
light; polarization; wave
phenomena.
* Remark: In flat spacetime,
the Coulomb law implies the Gauss law, but the latter is the one that generalizes
to curved spacetime.
@ General references: Cohen & Kegeles PRD(74);
Bini et
al IJMPD(01)gq/00 [integral
formulation]; Araujo Diniz et al ht/00;
Tsagas CQG(05)gq/04;
Sundkvist JMP(06)
[covariant parametrization]; Mitskievich a0802 [classification of fields].
@ Electric and magnetic fields: Ellis in(73); Crater AJP(94),
comment Vanzella et al AJP(96).
@ Asymptotics: Goldberg & Kerr JMP(64) [multipoles]; Alexander & Bergmann
FP(84); Nolan AP(95) [NP]; Misner et al PRD(06) [numerical, beyond scri].
@ Electric/magnetic duality: Deser et al PRD(97)ht/96 [black
holes]; Cardoso et al PLB(96)ht [action
for electric/magnetic currents].
@ Complex techniques: Kaiser JPA(04)gq/01 [Kerr-Newman
fields]; Gsponer
gq/04 [Lanczos-Newman
electrodynamics].
Specific Types of Spacetimes > s.a. FRW
models; huygens'
principle; null
infinity.
@ Black holes: Mukhopadhyay CQG(02)gq [Kerr];
Harpaz FP(07)
[E field in Schwarzschild]; Valiente Kroon a0802 [near
infinity]; > s.a.
black hole phenomenology, fields
in schwarzschild.
@ Other spacetimes: Tomaschitz JMP(93)
[multiply connected]; Hu & Shiokawa PRD(98)gq/97 [FRW
+ stochastic];
Tsaregorodtsev & Medvedev G&C(98)gq [charged
particle in de Sitter]; Perez Bergliaffa & Hibberd PRD(00)gq [wormholes];
Sakai & Shibata
ApJ(03)ap/02 [and
pulsars]; Alvarez & Olive CMP(06)ht/03 [manifolds
with boundary]; Nouri-Zonoz CQG(04)
[NUT space]; Montani & Cherubini IJMPD(05)
[isotropic universe].
@ Generalized backgrounds: Wise CQG(06)
[on a chain complex]; Tarasov MPLA(06)-a0711
[on a fractal].
Coupling to Gravity > s.a. lorentzian
geometry [analog]; gravitating matter; photons
in quantum
gravity; unified
theories.
* Motivation: Improved
experimental tests of general relativity, including electromagnetic fields
around black holes, and alternatives theories.
* Idea: The Maxwell equations
in terms of (E, B) and (D, H)
do not require metric or connection, but the constitutive relationship between
those two pairs
does; May require non-metricity and/or torsion.
@ General references: Bergmann et al PR(50)
[with Einstein's general relativity]; Barut et al HPA(94)
[and spacetime models]; & Toupin & Schoenberg; Senovilla gq/03-in
[conserved tensor]; Rosquist CQG(06)gq/04 [Compton
scale effects].
@ Special situations: Shatskiy JETP(01)gq/02 [field
of ring current around Kerr]; > s.a. gravitational
waves, solutions
of general relativity.
@ Non-minimal: Prasanna & Mohanty CQG(03)
[constraints]; Balakin & Lemos CQG(05)gq.
@ With non-metricity and torsion: Vandyck JPA(96); Hehl & Obukhov
LNP(01)gq/00-in.
Other Related Topics > s.a. electricity; modified
electrodynamics [pre-metric];
self-dual fields.
@ Gravitomagnetic effects: Nouri-Zonoz PRD(99)gq [Faraday rotation];
Kopeikin & Mashhoon PRD(02)gq/01.
@ Optical geometry: Sonego & Abramowicz JMP(98),
00; > s.a. optics, self-force.
@ Negative refraction: Lakhtakia et al PLA(05).
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
20 jun 2008