Born-Infeld Theory| Born-Infeld Theory |
In General
> s.a. clifford algebra; modified electromagnetism.
* Idea: A non-linear form of
electrodynamics; It predicts a maximum value for the electric field, preventing
the occurrence of classical singularities; The Lagrangian density is
\(\cal L\)BI = β 2 [det(δμν + β−2 F μν)]1/2 ,
where β plays the role of the maximum value of the electric field;
This is currently the most widely known type of non-linear electrodynamics.
@ General references: Mie AdP(13), AdP(13) [precursor];
Born & Infeld PRS(34);
Dirac PRS(60) [reformulation];
Białynicki-Birula in(83) [rev];
Chruściński JPA(98) [Hamiltonian form];
Kerner NCB(04);
Kogut & Sinclair PRD(06)hl [lattice, and quantization];
Smirnov tr-a1708.
@ Solutions:
Yang PRS(00) [localized, magnetic strings];
Brihaye & Mercier PRD(01) [+ abelian Higgs];
Ferraro PLA(04) [2D, electrostatic];
Aiello et al PLA(07)ht/06 [electromagnetic waves and background fields];
Ferraro JHEP(10)-a1007 [2D electrostatic, complex method];
Kiessling PLA(11)-a1107 [uniqueness results for Maxwell-Born-Infeld theory];
Ferraro JHEP(13)-a1304 [2D];
Ferraro & Nigro JHEP(16)-a1508 [complex method].
@ Related topics:
Schwarz ht/01-conf [and string theory];
Fortunato et al JMP(02) [second-order approximation, finite-energy solutions];
Cirilo-Lombardo JMP(07) [hidden symmetries];
Kenoufi & Gondran a0708 [complex Faraday tensor];
Kiessling a1107-proc
[laws of motion for point charges in Maxwell-Born-Infeld theory];
> s.a. wave phenomena [2D, superluminal propagation].
> Online resources:
see Wikipedia page.
Modifications
> s.a. Eddington(-inspired)-Born-Infeld Gravity.
@ In curved spacetime:
Gibbons & Hashimoto JHEP(00).
@ Non-abelian: Serié et al PRD(03);
Cirilo-Lombardo CQG(05)ht/06;
Obregón MPLA(06) [without sqrt].
@ Born-Infeld-Einstein theory:
Pellicer & Torrence JMP(69);
Deser & Gibbons CQG(98)ht [actions];
Vollick PRD(04)gq/03 [Palatini form];
Nieto PRD(04)ht [in any dimension, self-dual in D = 4];
Vollick PRD(05)gq [+ matter];
> s.a. black holes in modified theories.
@ For Einstein-Yang-Mills theory: Palatnik gq/04;
Dyadichev et al PRD(05)ht/04 [non-abelian, Bianchi I, chaos].
@ Supersymmetric: Ketov MPLA(99);
Ivanov RPJ(02)ht;
Nishino et al CQG(05)ht/04 [N = 1 Dirac-Born-Infeld];
Hariton JPA(06).
@ Other: Tripathy & Khare PLB(01)ht/00 [topologically massive];
Hu et al IJTP(04) [discrete, non-commutative space];
Aiello et al PRD(04)gq [coupled to Lovelock gravity, black hole solutions];
Novello et al PRD(05)ap [extension for a scalar field, and cosmology];
Comelli IJMPA(05),
PRD(05)gq;
Kruglov JPA(10)-a0909 [with two parameters];
Chemissany et al PRD(12) [with higher derivatives];
Güllü et al PRD(15)-a1410 [4D, with a massless graviton];
Bufalo PLB(15)-a1505 [in very special relativity];
Ferrara et al NPB(16)-a1602 [two-field].
Gravitational Analog
@ General references: Wohlfarth CQG(04);
Zinoviev ht/05;
Lubo a0804 [and galaxy rotation curves];
Güllü et al CQG(10)-a1003 [3D, and new massive gravity];
Alishahiha et al PRD(10) [3D];
Güllü et al PRD(10)-a1004 [Born-Infeld-Hořava gravity];
Escobar a1209 [and scalar-tensor theory];
Odintsov et al PRD(14)-a1406;
Beltrán et al a1704/PRP [rev];
Beltrán Jiménez et al a2104 [constraints and effective field theory].
@ Solutions:
da Rocha et al a0907 [cosmic strings in NDL theory];
Chern & Yang JMP(14) [cosmic string model];
Bazeia et al CQG(17)-a1609 [BTZ-type];
Ozen et al PRD(17)-a1710 [black holes, entropy].
@ Born-Infeld-like f(R) gravity theories:
Fabris et al PRD(12)-a1205;
Kruglov IJTP(13),
ApSS(16)-a1403;
Makarenko et al PRD(14)-a1403.
Phenomenology
> s.a. BIon; dark energy;
cosmological models in general relativity;
FLRW quantum cosmology; lensing.
* Cosmology: In
theories with \(\cal L\)em =
−\(1\over4\)F2
+ α F4,
without electric field, the F4
term produces a bounce that avoids the initial singularity.
@ General references:
Boillat & Strumia JMP(99) [electron, spin effects];
Gibbons G&C(02) [pulse propagation];
Schuller AP(02) [and maximal acceleration];
Carley & Kiessling PRL(06)mp/05,
Mazharimousavi & Halilsoy FP(12)-a0810 [H atom];
Ferraro PRL(07) [waveguide test];
Addazi et al PLB(16)-a1607 [condensate as a possible origin of neutrino masses and dark energy];
Jana et al PRD(18)-a1711 [speed of gravitational waves].
@ Cosmology:
García-Salcedo & Bretón IJMPA(00);
Vargas Moniz PRD(02) [quintessence];
Lu et al ht/05 [Einstein-BI, classical and quantum];
Vollick PRD(08)-a0807 [homogeneous, isotropic];
Copeland et al PRD(10) [Dirac-BI with perfect fluid];
Fiorini PRL(13) [absence of singularity].
@ Isolated objects: Pellicer & Torrence JMP(69) [Reissner-Nordström-like];
Bretón PRD(03) [black hole and isolated horizon];
Bilić et al JCAP(06)ap/05 [BI phantom gravastars];
Cirilo-Lombardo JMP(05)gq/06,
gq/05-conf [Einstein-BI, static spherical];
Franklin & Garon PLA(11) [relativistic hydrogen spectrum];
Jana et al PRD(18)-a1808 [overcharging black holes, cosmic censorship];
Böhmer & Fiorini CQG(19)-a1901 [regular black holes];
> s.a. black holes; reissner-nordström spacetime.
@ Solutions as particle models:
Mazharimousavi & Halilsoy PLB(09)-a0812 [black holes];
Chernitskii in(10)-a0911
[axisymmetric static solutions with ring singularity];
> s.a. geons.
main page
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– other sites – acknowledgements
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