A simple example of type-[N] \otimes [N] {\cal HH} -spaces admitting twisting null geodesic congruence

Details A simple example of type-[N] \otimes [N] {\cal HH} -spaces admitting twisting null geodesic congruence A simple example of type-[N] \otimes [N] {\cal HH} -spaces admitting twisting null geodesic congruence

Mar 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cqgra..25e5010c&link_type=abstract

Classical and Quantum Gravity, Volume 25, Issue 5, pp. 055010 (2008).

Mathematics

Logic

2

Scientific paper

Expanding {\cal HH} -spaces with cosmological constant of the type [deg] otimes [deg] are considered. We find the expanding hyperheavenly equation describing such spaces and then we specify this equation to the case of the type [N] otimes [N]. An example of the solution of this last equation leading to the type-[N] otimes [N] {\cal HH} -space (with vanishing cosmological constant) admitting twisting null geodesic congruence is presented and the respective metric is explicitly given.

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