Non-minimal Einstein-Maxwell theory: the Fresnel equation and the Petrov classification of a trace-free susceptibility tensor

作者: Alexander B Balakin , Alexei E Zayats

DOI: 10.1088/1361-6382/AAAA60

关键词:

摘要: We construct a classification of dispersion relations for the electromagnetic waves non-minimally coupled to space-time curvature, based on analysis susceptibility tensor, which appears in non-minimal Einstein-Maxwell theory. classify solutions Fresnel equation model with trace-free tensor according Petrov scheme. For all types we discuss specific features and plot corresponding wave surfaces.

参考文章(62)
Friedrich W. Hehl, Yuri N. Obukhov, How Does the Electromagnetic Field Couple to Gravity, in Particular to Metric, Nonmetricity, Torsion, and Curvature? Lecture Notes in Physics. ,vol. 562, pp. 479- 504 ,(2001) , 10.1007/3-540-40988-2_25
Pham Mau Quan, Inductions électromagnétiques en relativité générale et principe de Fermat Archive for Rational Mechanics and Analysis. ,vol. 1, pp. 54- 80 ,(1957) , 10.1007/BF00297996
A. Z. Petrov, The Classification of Spaces Defining Gravitational Fields General Relativity and Gravitation. ,vol. 32, pp. 1665- 1685 ,(2000) , 10.1023/A:1001910908054
Yuri N. Obukhov, Yuri N. Obukhov, Friedrich W. Hehl, Friedrich W. Hehl, Spacetime Metric from Local and Linear Electrodynamics: A New Axiomatic Scheme Lecture Notes in Physics. ,vol. 702, pp. 163- 187 ,(2006) , 10.1007/3-540-34523-X_7
Yakov Itin, Skewon modification of the light cone structure Physical Review D. ,vol. 91, pp. 085002- ,(2015) , 10.1103/PHYSREVD.91.085002
Yakov Itin, Dispersion relation for electromagnetic waves in anisotropic media Physics Letters A. ,vol. 374, pp. 1113- 1116 ,(2010) , 10.1016/J.PHYSLETA.2009.12.071
Claus Lämmerzahl, Friedrich W. Hehl, Riemannian light cone from vanishing birefringence in premetric vacuum electrodynamics Physical Review D. ,vol. 70, pp. 105022- ,(2004) , 10.1103/PHYSREVD.70.105022
Alexander B. Balakin, Winfried Zimdahl, Optical metrics and birefringence of anisotropic media General Relativity and Gravitation. ,vol. 37, pp. 1731- 1751 ,(2005) , 10.1007/S10714-005-0155-3