Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-09-06
Phys.Rev.D60:124018,1999
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LATeX, 20 pages, 2 Figs
Scientific paper
10.1103/PhysRevD.60.124018
An effective action is obtained for the area and mass aspect of a thin shell of radiating self-gravitating matter. On following a mini-superspace approach, the geometry of the embedding space-time is not dynamical but fixed to be either Minkowski or Schwarzschild inside the shell and Vaidya in the external space filled with radiation. The Euler-Lagrange equations of motion are discussed and shown to entail the expected invariance of the effective Lagrangian under time-reparametrization. They are equivalent to the usual junction equations and suggest a macroscopic quasi-static thermodynamic description.
Alberghi Gian Luigi
Casadio Roberto
Venturi Giovanni
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