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

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/019/01/0031-0041

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.