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Effective Action and Thermodynamics of Radiating Shells in General Relativity
General Relativity and Quantum Cosmology · Submitted 6 Sep 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim They are equivalent to the usual junction equations and suggest a macroscopic quasi-static thermodynamic description.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | An effective action is obtained for the area and mass aspect of a thin shell of radiating self-gravitating matter. | contribution 0.80 | 0.92 | 0.36 | asserted 1.00 |
| s1 | 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. | method 0.98 | 0.78 | 0.08 | asserted 1.00 |
| s2 | The Euler-Lagrange equations of motion are discussed and shown to entail the expected invariance of the effective Lagrangian under time-reparametrization. | result 0.86 | 0.90 | 0.09 | asserted 1.00 |
| s3 | They are equivalent to the usual junction equations and suggest a macroscopic quasi-static thermodynamic description. | interpretation 0.89 | 0.83 | 0.37 | hedged possibility 0.78 |
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Original 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.
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