H Balasin and D Grumiller 2004 Class. Quantum Grav. 21 2859 doi:10.1088/0264-9381/21/12/006
H Balasin1 and D Grumiller1,2
Show affiliationsThe ultrarelativistic limit of two-dimensional dilaton gravity is presented and its associated (anti-)self-dual energy–momentum tensor is derived. It is localized on a null line, although the line element remains twice differentiable. Relations to the Aichelburg–Sexl spacetime and constant dilaton vacua are pointed out. Geodesics are found to be smooth for minimally coupled test particles but non-smooth—with a finite jump in the acceleration—for test particles coupled non-minimally to the dilaton. Quantization on boosted backgrounds is discussed; no anomalous trace of the energy–momentum tensor arises and the 1-loop flux component can be adjusted to be equal to the classical flux of the shock wave.
Issue 12 (21 June 2004)
Received 30 December 2003
Published 7 May 2004
H Balasin and D Grumiller 2004 Class. Quantum Grav. 21 2859
Stefan Luding 2009 Nonlinearity 22 R101
A P Barnes et al 2004 Class. Quantum Grav. 21 5043
Gary T Horowitz and Kengo Maeda 2002 Class. Quantum Grav. 19 5543
N. Craig et al. 1997 ApJS 113 131
G Huber and P Alstrom 1991 J. Phys. A: Math. Gen. 24 L1105
N Klein 2002 Rep. Prog. Phys. 65 1387
Eric S. Perlman et al. 2007 ApJ 663 808
Guido Garay et al. 2007 The Astronomical Journal 134 906
Chang-Duk Kim et al 2006 Nanotechnology 17 5180