A note on the Einstein equation in string theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, RevTex, no figures

Scientific paper

10.1142/S0217732301003176

We show, using purely classical considerations and logical extrapolation of results belonging to point particle theories, that the metric background field in which a string propagates must satisfy an Einstein or an Einstein-like equation. Additionally, there emerge restrictions on the worldsheet curvature, which seems to act as a source for spacetime gravity, even in the absence of other matter fields.

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