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Canonical Formulation of pp-waves · Around

2007

Canonical Formulation of pp-waves

Balasin, Herbert, Aichelburg, Peter

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We construct a Hamiltonian formulation for the class of plane-fronted gravitational waves with parallel rays (pp-waves).

Because of the existence of a light-like Killing vector, the dynamics is effectively reduced to a 2+1 evolution with "time" chosen to be light-like.
In spite of the vanishing action this allows us to geometrically identify a symplectic form as well as dynamical Hamiltonian, thus casting the system into canonical form.

Built on

Jordan P, Ehlers J and Kundt W, Akad. Wiss. Lit. (Mainz) Abhandl. Math.-Nat. Kl. 2
1960
Earlier work this paper cites.
Aichelburg P and Sexl R, Gen.Rel.Grav. 2
1971
Earlier work this paper cites.
Wald R, General Relativity, University of Chicago Press (1984)
Original
1984
Earlier work this paper cites.

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Verlinde E and Verlinde H, Nucl.Phys. B
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Kuchar K, Phys. Rev. D
1994
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Then

Aichelburg P C and Balasin H, Class.Quantum Grav. 13
1996
Later among the works it cites.
Aichelburg P C and Balasin H, Class.Quantum Grav. 14
1997
Later among the works it cites.
Polchinski J, String Theory I, Cambridge University Press (1998)
1998
Later among the works it cites.

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