Glenn Barnich 2003 Class. Quantum Grav. 20 3685 doi:10.1088/0264-9381/20/16/310
Glenn Barnich1
Show affiliationsBoundary charges in gauge theories (such as the ADM mass in general relativity) can be understood as integrals of linear conserved n − 2 forms of the free theory obtained by linearization around the background. These forms are associated one-to-one with reducibility parameters of this background (such as the time-like Killing vector of Minkowski spacetime). In this paper, closed n − 2 forms in the full interacting theory are constructed in terms of a one-parameter family of solutions to the full equations of motion that admits a reducibility parameter. These forms thus allow one to apply Stokes theorem without bulk contributions and, provided appropriate fall-off conditions are satisfied, they reduce asymptotically near the boundary to the conserved n − 2 forms of the linearized theory. As an application, the first law of black-hole mechanics in asymptotically anti-de Sitter spacetimes is derived.
04.25.-g Approximation methods; equations of motion
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
Issue 16 (21 August 2003)
Received 17 April 2003
Published 28 July 2003
Glenn Barnich 2003 Class. Quantum Grav. 20 3685
K Ikeda 1994 J. Phys. A: Math. Gen. 27 5969
Roderich Tumulka 2007 J. Phys. A: Math. Theor. 40 3245
David Hartley 1995 Class. Quantum Grav. 12 L103
Sören Mattsson and Brian J Thomas 2006 Phys. Med. Biol. 51 R203
C J Olson Reichhardt and C Reichhardt 2003 J. Phys. A: Math. Gen. 36 5841
J L A Coelho and R L P G Amaral 2002 J. Phys. A: Math. Gen. 35 5255
Marc Audard et al. 2000 ApJ 541 396
G Falzon et al 2006 Phys. Med. Biol. 51 2465
D G Cacuci and V Protopopescu 1989 J. Phys. A: Math. Gen. 22 2399