• Linearization stability of coupled gravitational and scalar fields in asymptotically flat space-times

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    • Keywords


      Weighted Sobolev spaces; elliptic operator; linearization stability; Einstein field equations; self-gravitating scalar field; constraint equations; Hamiltonian formulation of geometrodynamics

    • Abstract


      Using the methods of Choquet-Bruhat, Fischer and Marsden and using weighted Sobolev spaces developed recently by Christodoulou and Choquet-Bruhat, it is proved that the Einstein field equations coupled with self-gravitating scalar fields are linearization stable in asymptotically flat space-times.

    • Author Affiliations


      R V Saraykar1

      1. Department of Mathematics, Nagpur University, University Campus, Nagpur - 440 010, India
    • Dates

  • Pramana – Journal of Physics | News

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