The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor

Details The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor

2003-12-18

arxiv.org/abs/gr-qc/0312086v4

Class.Quant.Grav. 21 (2004) 2859-2872

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 3 eps-figures, v4: corrected typo in affiliation and 2 misprints in the text, added PACS numbers

Scientific paper

10.1088/0264-9381/21/12/006

The ultrarelativistic limit of twodimensional dilaton gravity is presented and its associated (anti-)selfdual 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.

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