Locally anisotropic gravity and strings

Journal Article · Thu May 01 04:00:00 EDT 1997 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1996.5661· OSTI ID:587160

Vacaru, S I ^[1]

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1. Department of Statistical and Nuclear Physics, Institute of Applied Physics, Academy of Sciences of Moldova, 5 Academy str., Chisinau, 2028, (Republic of Moldova)

We shall present an introduction to the theory of gravity on locally anisotropic spaces modelled as vector bundles provided with compatible nonlinear and distinguished linear connection and metric structures (such spaces are obtained by a nonlinear connection reduction or compactification from higher dimensional spaces to lower dimensional ones and contain as particular cases various generalizations of Kaluza{endash}Klein and Finsler geometry). We shall analyze the conditions for consistent propagation of closed strings in locally anisotropic background spaces. The connection between conformal invariance, the vanishing of the renormalization group {beta}-function of the generalized {sigma}-model, and field equations of locally anisotropic gravity will be studied in detail. {copyright} 1997 Academic Press, Inc.

• OSTI ID: 587160
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 256; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CONFORMAL INVARIANCE
DIFFERENTIAL GEOMETRY
GRAVITATIONAL FIELDS
METRICS
RENORMALIZATION
SIGMA MODEL
STRING MODELS
UNIFIED-FIELD THEORIES