New derivation of the variational principle for the dynamics of a gravitating spherical shell

J. Kijowski, G. Magli, D. Malafarina

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The dynamics of a self-gravitating matter shell in general relativity is discussed in general. The case of a spherical shell composed of an arbitrary ideal fluid is then considered, and its Lagrangian function is derived from first principles. For this purpose, the standard Hilbert action is modified by an appropriate surface term at spatial infinity. The total Hamiltonian of the composed "shell+gravity" system is then calculated. Known results for the dust matter are recovered as particular cases. The above "surface renormalization" of the Hilbert action may be used for any spatially flat spacetime.

Original languageEnglish
Article number084017
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume74
Issue number8
DOIs
Publication statusPublished - 2006
Externally publishedYes

Fingerprint

Spherical Shell
spherical shells
variational principles
Variational Principle
Hilbert
Shell
derivation
ideal fluids
Ideal Fluid
First-principles
General Relativity
Renormalization
infinity
relativity
Gravity
dust
Space-time
Infinity
gravitation
Arbitrary

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

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