Perturbations
and Fields on Schwarzschild and Related Metrics| Perturbations
and Fields on Schwarzschild and Related Metrics |
In General > s.a. black holes
in modified theories;
black hole perturbations; numerical
relativity;
spherical solutions.
* Types: Perturbations
with l =
0 or 1 correspond to charges, those with l =
2 to gravitational waves; The only stationary axial ones have l =
1; In addition to the quasinormal modes, the gravitational spectrum also has
a continuum part, i.e., a branch cut in
Green's function, on the negative imaginary frequency axis; Even perturbations
satisfy the Zerilli equation, odd ones the Regge-Wheeler equation.
@ Linear: Regge & Wheeler PR(57);
Peters PR(66);
Edelstein & Vishveshwara PRD(70);
Malec & O'Murchadha gq/97 [back-scattering],
et al CQG(98)gq/97 [spherical
scalar waves]; Barack PRD(99)
[scalar, late-time]; Karkowski et al APPB(01)gq/02 [gravitational
and electromagnetic]; Vacaru IJMPD(03)gq/02 [black
ellipsoids]; Grumiller gq/03-in
[classical, quantum, semi]; Blue & Soffer JMP(05)gq/03 [odd,
spin-2]; Bishop CQG(05)gq/04 [Bondi-Sachs
form]; Leung et al CQG(03)gq [continuum,
quadrupole]; Fiziev gq/07-in
[exact solutions].
@ Gauge-invariant: Fernandes & Lun JMP(96); Jezierski GRG(99)gq/98 [waves];
Sarbach & Tiglio PRD(01)gq [horizon-penetrating];
Clarkson & Barrett CQG(03)gq/02 [covariant];
Martel & Poisson PRD(05)gq [and
radiation]; Nagar & Rezzolla CQG(05)gq
[rev].
@ Second-order: Gleiser et al PRL(96), CQG(96)gq/95,
PRP(00)gq/98 [gravitational
radiation from collision]; Garat & Price PRD(00)
[gauge-invariant]; Nicasio et al
GRG(00)gq [with
odd-parity].
@ Related topics: Cruciani NCB(05)gq/06 [re
Zerilli approach]; Fiziev gq/06 [solutions
of Regge-Wheeler equation in interior]; Kol ht/06 [negative
mode]; Preston & Poisson PRD(06)gq [light-cone
gauge].
@ In modified theories: Yunes & Sopuerta a0712 [Chern-Simons-modified
gravity].
Quasinormal Modes > s.a. black
hole perturbations; black
hole thermodynamics; quantum
black holes.
* Results: The imaginary parts of the frequencies of the quasinormal
modes of the Schwarzschild black hole are equally spaced, with the level spacing
dependent only on the surface gravity.
@ General references: Regge & Wheeler PR(57);
Liu & Mashhoon CQG(96);
Décanini et al PRD(03)gq/02 [complex
angular momentum]; Motl ATMP(02)gq [and
lqg]; Motl & Neitzke ATMP(03)ht [asymptotic
frequencies]; Musiri & Siopsis CQG(03)ht [perturbative].
@ Second-order:
Kao a0704; Nakano
& Ioka PRD(07)-a0708.
@ Higher-dimensional: Birmingham PLB(03)ht;
Cardoso et al PRD(04)gq/03 [D 
4],
JHEP(03)ht [D =
5]; Rostworowski APPB(07)gq/06.
@ Dirac fields: Musiri & Siopsis ht/06 [massless];
Chen et al CQG(06) [and Lorentz violation].
@ Arbitrary spin: Shu & Shen PLB(05)gq;
Khriplovich & Ruban IJMPD(06)gq/05.
@ Schwarzschild-AdS: Horowitz & Hubeny PRD(00);
Cardoso & Lemos PRD(01)gq [em
and gravity]; Konoplya PRD(02)
[small black hole]; Moss & Norman CQG(02)gq [dS/AdS];
Musiri & Siopsis
CQG(03)ht,
PLB(03), PLB(03)ht;
Cardoso et al PRD(03)gq,
JMP(04);
Jing gq/05,
& Pan PRD(05)
[Dirac fields]; Musiri et al PRD(06).
@ Schwarzschild-dS: Cardoso & Lemos PRD(03)gq [near-extremal];
Suneeta PRD(03)gq;
Maassen van den Brink PRD(03)gq;
Zhidenko CQG(04)gq/03;
Castello-Branco & Abdalla
gq/03; Roy
Choudhuri & Padmanabhan PRD(04)gq/03 [level
spacing]; Konoplya & Zhidenko JHEP(04)
[high overtones]; Medved & Martin GRG(05)
[treatments].
Waves and Other Related Effects > s.a. phenomenology;
chaotic motion; horizons; quantum
black holes.
* Wave propagation: Governed
by the spin-dependent wave equation
/r* +
(
–V) =
0, where V(r) = [l(l+1) r–2 +
(1–j2) 2M r–3](1–2M/r)
.
@ Electromagnetic waves: Zecca
NCB(00); Malec PRD(00)gq;
Valiente Kroon PRS(07)gq [near
spi]; Crispino
et al PRD(07)
[absorption].
@ Other fields: Aguirregabiria & Vishveshwara PLA(96);
Sánchez ht/01-in;
Karkowski et al CQG(02)gq/01,
APPB(01)gq/02, PRD(03)gq/02 [including
numerical]; Zecca NCB(03)
[scalar], NCB(05)
[massive spin-1]; Kuchiev & Flambaum PRD(04)
[scalar, absorption cross-section]; Cadez & Kostic PRD(05)gq/04 [optics];
Kronthaler JMP(06)gq [Cauchy
problem]; > s.a. electromagnetism
in curved spacetime, low-spin field theories [3/2].
@ Stability: Vishveshwara PRD(70);
Ishibashi & Kodama PTP(03)ht [higher-dimensional];
Gibbons et al PTP(05)ht/04 [M < 0
stable]; Gleiser & Dotti CQG(06)gq,
Cardoso & Cavaglià PRD(06)gq [M < 0
unstable]; Finster & Smoller gq/06 [electromagnetism
and gravity].
@ Tails, late-time behavior: Ching et al PRL(95)gq/94, PRD(95)gq;
Barack PRD(99)gq/98;
Friedman & Morris
JMP(00);
Koyama & Tomimatsu PRD(01)
[massive scalar]; Cardoso et al PRD(03)ht;
Karkowski et al CQG(04)gq/03;
Price & Burko
PRD(04)gq [special
case]; > s.a. gauge theory solutions.
@ Other effects: Karkowski
et al APPB(03)gq/02 [ringing].
> Other
fields on Schwarzschild backgrounds: dirac
fields; electromagnetic fields; gauge
theory
solutions; kg
fields; other
fields.
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
15 jun 2008