The Arnowitt-Deser-Misner principle and geodesical flows in superspace

Details The Arnowitt-Deser-Misner principle and geodesical flows in superspace The Arnowitt-Deser-Misner principle and geodesical flows in superspace

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987zhetf..93.1153g&link_type=abstract

Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0044-4510), vol. 93, Oct. 1987, p. 1153-1158. In Russian.

Statistics

Computation

6

Astronomical Models, Big Bang Cosmology, Computational Astrophysics, Hamiltonian Functions, Universe, Variational Principles, Differential Equations, Geodesy, Inflating, Potential Theory, Scalars

Scientific paper

The ADM variational principle is used to develop an approach to the investigation of the stability of Hamiltonian systems in superspace (i.e., on a manifold with a pseudo-Riemannian metric). For the inflationary solutions describing the dynamics of the universe with a massive scalar field, stability laws of disturbance attenuation are obtained for each type of scalar potential.

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