Criticality and Self-Similarity in Gravitational Collapse| Criticality and Self-Similarity in Gravitational Collapse |
In General > s.a. 3D gravity; causality
violation; singularities; solutions with symmetries.
* The issue: M Choptuik, in numerical
simulations of spherically symmetric scalar field collapse, found that, near the
threshold for black-hole formation (criticality), the mass of the black hole
that forms always depends on the parameter p in a family of initial data as ∝
(p-pcrit)γ,
where γ is the same for all kinds of matter and initial conditions
(universality); The critical solution depended on r and t
only through the combination r/t (self-similarity).
* Development: Many other studies, with
different families of data and types of matter, numerical and to some extent analytical, done
since the first one; Universality may not be true [@ Maison PLB(96)gq/95].
Types of Matter and Theories > s.a. 3D black holes.
@ Scalar: Hirschmann & Eardley PRD(95),
PRD(95)gq [complex],
PRD(97)gq/95 [sigma model];
Gundlach PRD(97)gq/96 [massless];
Hamadé & Stewart CQG(96)gq/95 [massless];
Brady PRD(95),
et al PRD(97)gq,
Chambers et al gq/97-MG8 [massive, spherical];
Hod & Piran PRD(97) [charged];
Frolov PRD(00)gq/99 [continuous to discrete self-similar];
Martín-García & Gundlach PRD(03) [global structure];
Hirschmann et al CQG(04)gq/02 [2+1];
Choptuik et al PRL(04)gq [complex, with angular momentum].
@ 2+1, scalar + cosmological constant:
Pretorius & Choptuik PRD(00) [numerical];
Husain & Olivier CQG(01);
Garfinkle PRD(01) [exact];
Clément & Fabbri CQG(01),
NPB(02);
Jałmużna et al PRD(15)-a1510 [massless, numerical].
@ 2+1: Birmingham PRD(01)ht [BTZ and AdS-cft];
Cavaglià et al PRD(04)gq [Λ < 0 self-similar].
@ Higher-dimensional: Sorkin & Oren PRD(05)ht [massless scalar];
Bizoń et al PRL(05) [4+1 vacuum];
Bland et al CQG(05)gq [scalar, dimension dependence of critical exponent];
Bizoń et al PRL(06)gq [5D vacuum];
Taves & Kunstatter PRD(11)-a1105 [in Painlevé-Gullstrand coordinates].
@ Dust: Singh & Joshi CQG(96);
Joshi & Dwivedi CQG(99)gq/98 [spherical];
Olabarrieta MSc(00)gq.
@ Fluids: Maison PLB(96)gq/95 [non-universality];
Neilsen & Choptuik CQG(00)gq/98;
Koike et al PRD(99);
Carr e al PRD(00)gq/99,
CQG(01)gq/99;
Gundlach PRD(02)gq/99 [p = kρ, non-spherical];
Harada & Maeda PRD(01)gq [spherical];
Gundlach PRD(02)gq/01 [rotating].
@ Einstein-Yang-Mills: Choptuik et al PRL(96)gq,
PRD(99)gq;
Gundlach PRD(97)gq/96 [echoing and scaling].
@ Newtonian gravity: Maeda & Harada PRD(01)gq;
Harada et al PRD(03)gq/02.
@ Other fields and theories: Eardley et al PRD(95)gq [axion-dilaton];
Husa et al PRD(00)gq,
Thornburg et al gq/00-MG9 [σ-model];
Ventrella & Choptuik PRD(03)gq [Dirac];
Golod & Piran PRD(12)-a1201 [Einstein-Gauss-Bonnet gravity];
Antonelli & Hatefi a1912 [Einstein-axion-dilaton, critical exponents];
> s.a. Sphaleron.
References > s.a. solar system.
@ General: Choptuik PRL(93);
Abrahams & Evans GRG(94);
Aquilano et al GRG(94);
Husain et al PRD(94);
Das et al JMP(95);
Pürrer PhD(07)-a0708 [global vs local aspects];
Reiterer & Trubowitz a1203 [existence of an analytic solution].
@ Reviews: Bizoń ACosm(96)gq;
Choptuik gq/98-GR15;
Brady & Cai gq/98-MG8;
Gundlach ATMP(98)gq/97,
LRR(99)gq/00,
PRP(03)gq/02;
Wang BJP(01)gq;
Hortacsu gq/03-conf;
Gundlach & Martín-García LRR(07)-a0711.
@ Formulations: Garfinkle PRD(95)gq/94 [null];
Gundlach PRL(95)gq [eigenvalue problem];
de Oliveira & Soares IJMPA(02) [dynamical system];
> s.a. einstein's equation.
@ Renormalization approach: Hara et al gq/96;
Iguchi et al PRD(98)gq/97.
@ Self-similarity, scale invariance:
Garfinkle & Meyer PRD(99);
Lechner et al PRD(02) [discrete/continuous bifurcation, sigma model].
@ Analytical models:
Koike & Mishima PRD(95);
Husain et al CQG(96)gq/95;
Price & Pullin PRD(96)gq [approximations];
Wang PRD(03)gq [cylindrical Klein-Gordon];
Mahajan & Joshi GRG(07)gq/05.
@ Perturbations: Frolov PRD(97)gq,
PRD(99)gq/98;
Gundlach PRD(98)gq/97 [non-spherical];
Garfinkle et al PRD(99)gq/98 [angular momentum];
Martín-García & Gundlach PRD(99)gq/98 [non-spherical];
Garfinkle & Gundlach PRD(02)gq [2+1 + scalar];
Baumgarte PRD(18)-a1802 [non-spherical, massless scalar].
@ Related topics:
Evans & Coleman PRL(94) [radiation];
Pullin PLA(95)gq/94 [and no-hair];
Gundlach PRD(98)gq/97 [angular momentum behavior];
Pürrer et al PRD(05)gq/04 [radiation and news];
Chesler & Way a1902 [holographic signatures].
@ Quantum:
Strominger & Thorlacius PRL(94);
Tomimatsu PRD(95);
Brady & Ottewill PRD(98)gq;
Casadio NPPS(00)gq/99 [shells];
Husain ASL(09)-a0808.
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