Finsler Geometry and Physics| Finsler Geometry and Physics |
In General > s.a. doubly special relativity [DSR];
path integrals; Very Special Relativity.
* Motivation: A Finsler structure
is one possible way to model a small-scale breaking of Lorentz invariance.
@ General references: Bekenstein PRD(93)gq/92;
Golestanian et al CQG(95);
Asanov RPMP(01)mp/00 [T violation];
Stavrinos & Diakogiannis gq/02 [and anisotropy];
Asanov gq/02 [rotational symmetry violation],
FPL(02)gq [and Michelson-Morley experiments],
gq/02 [kinematic transformations];
Noskov G&C(04),
G&C(04);
Lämmerzahl et al GRG(09)-a0811 [and experiment];
Pfeifer IJGMP(19)-a1903 [rev].
@ Mechanical systems: Kozma & Ootsuka a1408 [general Lagrangian theories].
@ Quantum theory:
Liang et al PRD(19)-a1910 [quantum mechanics, hydrodynamical representation];
> s.a. origin of quantum theory.
@ Spinors: Bogoslovsky & Goenner PLA(04)ht [Dirac equation];
Solov'yov JMS(11)-a0906 [Finslerian 3-spinors].
@ Theories with Lorentz-symmetry violation: Kostelecký PLB(11)-a1104;
Chang & Wang EPJC(13)-a1302 [anisotropy];
Russell proc(14)-a1308;
Silva & Almeida PLB(14)-a1312 [matter in bipartite spaces];
Schreck EPJC(15)-a1405 [relativistic point fermion];
Silva et al PLB(19)-a1907 [bipartite-Finsler spacetimes];
> s.a. modified lorentz symmetry.
@ Electrodynamics:
Voicu-Brinzei & Siparov a0905;
Voicu PIER(11)-a1012;
Pfeifer & Wohlfarth PRD(11)-a1104 [and causal structure];
Itin et al PRD(14)-a1411 [modification of the Coulomb law];
> s.a. geometric formulation of maxwell's theory.
@ Other field theory:
Beil FP(03);
Brandt ht/04-conf [quantum fields];
Sindoni PRD(08)-a0712 [and Higgs mechanism];
Sarkar JPCS(11)-a1012 [and CPT violation];
Pfeifer & Wohlfarth PLB(12)-a1109 [superluminal propagation of scalars–and fermions?];
Minguzzi RPMP(17)-a1508 [divergence theorem];
Silva et al PLB-a1511 [scalar field in Randers spacetime];
Silva a1602 [symmetries];
Edwards & Kostelecký PLB(18)-a1809 [Lorentz-violating field theories];
Silva a2009 [and Standard Model extensions].
@ Specific systems and phenomenology:
Gutkin & Tabachnikov JGP(02) [billiards];
De ht/03 [and hadrons];
Duval CMP(08)-a0707 [geometrical optics on Finsler manifold];
Li & Chang a1010 [symmetry and kinematics in constant-curvature spacetimes];
Exirifard a1302 [light-speed anisotropy];
Koibuchi & Sekino PhyA(13) [Finsler geometric surface models, and anisotropic membranes].
Gravity and Spacetime Structure > s.a. chaos
in bianchi models; history of relativistic gravity.
* Berwald spacetimes: Finsler spacetimes
that are closest to pseudo-Riemannian spacetime geometry.
@ Reviews: Tavakol IJMPA(09);
Balan et al JModP(12)-a1111.
@ Spacetime structure:
Randers PR(41);
Bogoslovsky & Goenner PLA(98)gq,
GRG(99)gq [generalized Lorentz transformations];
Liu ht/98,
CSF(01),
CSF(01)ht/98,
CSF(01) [modified special relativity];
Caponio et al RMI(11)-a0903,
AHP(10)-a0903 [and Lorentzian causality];
Gallego Torromé a0906 [Randers spacetime];
Skákala & Visser CQG(11)-a1012 [causal structure as parameterized Randers geometry];
Javaloyes & Sánchez IJGMP(14)-a1311;
Hohmann a1403-in [as observer-dependent geometry];
Minguzzi RPMP(16)-a1412 [on the definition of Finsler spacetime];
Minguzzi CQG(15)-a1502 [Raychaudhuri equation and singularity theorems];
Voicu (RG)-a1507 [volume forms];
Minguzzi JGP(17)-a1601 [special coordinate systems];
Minguzzi CMP(17)-a1702,
PRD(17)-a1702 ["affine sphere relativity", geometry as measure and order];
Lämmerzahl & Perlick IJGMP(18)-a1802-proc;
Gallego Torromé a2012;
> s.a. singularity theorems; spacetime
boundaries; spacetime models.
@ And observers: Pfeifer PRD(14)-a1408 [radar experiment];
Pfeifer & Wohlfarth MG13(15)-a1801 [and measurements];
Bernal et al Univ(20)-a2003.
@ Berwald spacetimes: Roxburgh et al Tensor(92);
in Bao et al 00;
Gallego Torromé IJGMP(17)-a1606;
Fuster et al PRD(18)-a1804 [and very special relativity];
Pfeifer a1909;
Fuster et al Univ(20)-a2003 [metrizability];
Hohmann et al Univ(20)-a2003 [homogeneous, isotropic].
@ Light cone structure: Minguzzi CMP(14)-a1403 [and reverse triangle inequality],
JPCS(15);
Javaloyes & Sánchez a1805.
@ Geodesics: Perlick GRG(06)gq/05 [and Fermat principle];
Latifi JGP(07) [homogeneous];
Minguzzi & Suhr a1903 [regularity results].
@ Modified dispersion relations: Girelli et al PRD(07)gq/06;
Lobo et al PRD(17)-a1611.
@ Gravity: Ikeda AdP(90);
Beil IJTP(92) [gauge transformations];
Yazaki IJMPD(94) [+ other interactions];
Panahi NCB(03)gq [Lorentzian geometry];
Huang a0710 [proposal];
Voicu AIP(10)-a0911 [Hilbert action and Einstein equation];
Vacaru PLB(10)-a1003;
Skákala PhD(11)-a1107 [pseudo-Finsler extensions of general relativity];
Pfeifer & Wohlfarth PRD(12)-a1112,
a1210-proc [dynamics, and coupled matter];
Barletta & Dragomir FP(12);
Rivas JPCS(13)-a1203;
Minguzzi RPMP(16)-a1412 [Beem's Lagrangian and uniqueness of Finsler spacetime theories];
Exirifard JCAP(15)-a1509 [Randers geometry as MOND/dark matter];
Hohmann et al PRD(19)-a1812 [action].
@ Astrophysics and cosmology:
Arik & Ciftci G&C(03) [cosmological model];
Kouretsis et al PRD(10)-a1003 [cosmological model];
Vacaru IJMPD(12)-a1004;
Chang et al EPJC(13)-a1305 [spacetime anisotropy and galaxy rotation curves];
Li et al a1502 [anisotropic inflation];
Hohmann & Pfeifer PRD(17)-a1612 [geodesics in cosmological spacetimes];
Paul et al MPLA(18)-a1704 [cosmological solutions];
Wang & Meng PDU(18)-a2103;
> s.a. cosmological bounces.
@ Black holes: Vacaru CQG(10) [from spacetime non-commutativity];
Silagadze APPB(11)-a1106 [extension of Schwarzschild solution];
Lämmerzahl et al PRD(12)-a1208 [symmetries, perturbations of Schwarzschild spacetime];
Li PRD(18)-a1805 [Finslerian Reissner-Nordström spacetime].
@ Other types of spacetimes: Huang Mo JGP(12) [spherically symmetric Finsler metrics of scalar flag curvature];
Lin IJTP(14) [spherically symmetric];
Caponio & Stancarone IJGMP(16)-a1506 [static],
CQG(18)-a1710 [with a timelike Killing vector field];
Fuster & Pabst PRD(16)-a1510 [pp waves].
@ Specific theories / models: Beil IJTP(93) [and Kaluza-Klein theory];
Weinfurtner et al LNP(07)gq/06 [analog Finsler spacetime from 2-component BEC];
Mavromatos et al EPJC(12)-a1012 [supersymmetric spacetime foam in string/brane-theory];
> s.a. wormhole solutions.
@ Quantum gravity: Amelino-Camelia et al PRD(14)-a1407 [and curved momentum space];
> s.a. spacetime foam.
@ Related topics: Hasse & Perlick PRD(19)-a1904 [general redshift formula].
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