Gravitation a la string

Details Gravitation a la string Gravitation a la string

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6l..49t&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, March 1, 1989, p. L49-L56.

Physics

20

Gravitational Fields, Space-Time Functions, String Theory, Einstein Equations, Field Theory (Physics), Hilbert Space, Relativity, Schwarzschild Metric, Tensor Analysis

Scientific paper

A model is developed for the gravitational interaction in which the gravitational field is identified with the functions describing the embedding of spacetimes in a 10-dimensional flat space. The Lagrangian for the model is the Hilbert Lagrangian, but is considered this time as a functional of the embedding functions rather than of the metric. The field equations are the Einstein equations contracted with the 10 Gauss tensors of the embedding. The correct asymptotic behavior, the Schwarzschild solution, is obtained for a static, spherically symmetric field. Since only six of the 10 field equations are linearly independent, the gauge is fixed in such a way that the dynamical fields measure the departure from flatness of spacetime. The gauge turns out to be proportional to the Einstein tensor.

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