a New Lie - Derivative Operator and Homothetic or Killing Vectors in the GHP Formalism

Details a New Lie - Derivative Operator and Homothetic or Killing Vectors in the GHP Formalism a New Lie - Derivative Operator and Homothetic or Killing Vectors in the GHP Formalism

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet..861l&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

A generalized Lie derivative operator suitable for use within the GHP formalism and the notion of preferred GHP tetrads relative to a vector are introduced. The usual homothetic or Killing equations are then replaced by an equivalent but much more managable set of equations involving the commutators of this new operator with the four GHP derivative operators. This allows for an efficient treatment of the homothetic or Killing condition when constructing new solutions of Einstein's field equations or when obtaining the homothetic and/or Killing vectors for a given metric. More details are given elsewhere.

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