Holomorphic maps and Ernst equation

Details Holomorphic maps and Ernst equation Holomorphic maps and Ernst equation

Jun 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cqgra..22.2319p&link_type=abstract

Classical and Quantum Gravity, Volume 22, Issue 12, pp. 2319-2330 (2005).

Computer Science

Scientific paper

Using a general potential space formalism, it is shown that the Ernst equation arises when a constant curvature surface is isometrically embedded into a potential space. With a 'holomorphic' ansatz the formalism allows a complete integration of equations of motion of scalar vector tensor theories when the potential space is symmetric. As examples, we present static, axially symmetric solutions with Bonnor-type dipole parameters in Einstein Maxwell-dilaton theory and U(1) otimes U(1) theory. In the extremal limit, the solutions always reduce to Majumdar Papapetrou-type one-centred black holes.

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