Born-Infeld Theory  

In General > s.a. clifford algebra; modified electromagnetism.
* Idea: A non-linear form of electrodynamics, with maximum field values.
@ General references: Born & Infeld PRS(34); Dirac PRS(60) [reformulation]; Chruscinski JPA(98) [Hamiltonian form]; Kerner NCB(04); Kogut & Sinclair PRD(06)hl [lattice, and quantization].
@ 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].
@ Related topics: Schwarz ht/01-in [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].

Modifications
@ 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).
@ Gravitational analog: Wohlfarth CQG(04); Zinoviev ht/05; Lubo a0804 [and galaxy rotation curves]; da Rocha et al a0907 [cosmic strings in NDL theory].
@ Other: Tripathy & Khare PLB(01)ht/00 [topologically massive]; Hu et al IJTP(04) [discrete, non-commutative space]; Aiello et al PRD(04)gq [Lovelock-BI black holes]; Novello et al PRD(05)ap [extension, and cosmology]; Comelli IJMPA(05), PRD(05)gq; Kruglov a0909 [with two parameters].

Phenomenology > s.a. BIon; dark energy; cosmological models in general relativity; FRW quantum cosmology; lensing
* Cosmology: In theories with em = –F2 + 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 a0810 [H atom]; Ferraro PRL(07) [waveguide test].
@ 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].
@ Isolated objects: Pellicer & Torrence JMP(69) [Reissner-Nordström-like]; Bretón PRD(03) [black hole and isolated horizon]; Bilic et al JCAP(06)ap/05 [BI phantom gravastars]; Cirilo-Lombardo JMP(05)gq/06, gq/05-in [Einstein-BI, static spherical]; Mazharimousavi & Halilsoy PLB(09)-a0812 [black holes as particle models]; > s.a. black holes, reissner-nordström spacetime.


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