Free-field realization of D-dimensional cylindrical gravitational waves

Authors: Mikovic A.¹; Manojlovic N.²

Source: Classical and Quantum Gravity, Volume 17, Number 18, 2000 , pp. 3807-3819(13)

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Abstract:

We find two-dimensional free-field variables for D-dimensional general relativity on spacetimes with [iopmath latex="$D-2$"] D-2 [/iopmath] commuting spacelike Killing vector fields and non-compact spatial sections for [iopmath latex="$D\gt 4$"] D>4 [/iopmath] . We show that there is a canonical transformation which maps the corresponding two-dimensional dilaton gravity theory into a two-dimensional diffeomorphism-invariant theory of the free-field variables. We also show that the spacetime metric components can be expressed as asymptotic series in negative powers of the dilaton, with coefficients which can be determined in terms of the free fields.

Language: English

Document Type: Miscellaneous

Affiliations: 1: Departamento de Matematica, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal 2: ?rea Departamental de Matematica, UCEH, Universidade do Algarve, Campus de Gambelas, 8000 Faro, Portugal

Publication date: 2000-01-01