Alan D Rendall 2004 Class. Quantum Grav. 21 S295 doi:10.1088/0264-9381/21/3/018
Alan D Rendall
Show affiliationsFuchsian methods and their applications to the study of the structure of spacetime singularities are surveyed. The existence question for spacetimes with compact Cauchy horizons is discussed. After some basic facts concerning Fuchsian equations have been recalled, various ways in which these equations have been applied in general relativity are described. Possible future applications are indicated.
04.20.Ex Initial value problem, existence and uniqueness of solutions
83C75 Space-time singularities, cosmic censorship, etc.
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 3 (7 February 2004)
Received 9 September 2003
Published 13 January 2004
Alan D Rendall 2004 Class. Quantum Grav. 21 S295
Yasusada Nambu and Yohei Araki 2006 Class. Quantum Grav. 23 511
A L C Ferreira and S K Mendiratta 1993 J. Phys. A: Math. Gen. 26 L145
J-R Chazottes et al 2005 Nonlinearity 18 2341
K. Mougin and H. Haidara 2003 Europhys. Lett. 61 660
Tomaž Prosen 2008 New J. Phys. 10 043026
R K Millard 2002 Physiol. Meas. 23 N1
A Yu Pogromsky et al 2003 Nonlinearity 16 1597
Vasilii A Iskovskikh et al 1988 Russ. Math. Surv. 43 201
Chi-Hsuan Lin et al 2006 Physiol. Meas. 27 119