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. © 1999 The American Physical Society.
Effective action and thermodynamics of radiating shells in general relativity / Alberghi G.L.; Casadio R.; Venturi G.. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - STAMPA. - 60:12(1999), pp. 124018.1-124018.11. [10.1103/PhysRevD.60.124018]
Effective action and thermodynamics of radiating shells in general relativity
Casadio R.;Venturi G.
1999
Abstract
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. © 1999 The American Physical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.