A note on Noether symmetries and conformal Killing vectors

Details A note on Noether symmetries and conformal Killing vectors A note on Noether symmetries and conformal Killing vectors

Aug 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010gregr..42.1791h&link_type=abstract

General Relativity and Gravitation, Volume 42, Issue 8, pp.1791-1794

Physics

1

Noether Symmetries, Conformal Killing Vectors

Scientific paper

A conjecture was stated in Hussain et al. (Gen Relativ Grav 41:2399, 2009), that the conformal Killing vectors form a subalgebra of the symmetries of the Lagrangian that minimizes arc length, for any spacetime. Here, a counter example is constructed to demonstrate that the above statement is not true in general for spacetimes of non-zero curvature.

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