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A note on Noether symmetries and conformal Killing vectors

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Abstract

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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Authors and Affiliations

  1. School of Electrical Engineering and Computer Science, National University of Sciences and Technology, H-12 Campus, Islamabad, Pakistan

    Ibrar Hussain

  2. Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Campus of the College of Electrical and Mechanical Engineering, Peshawar Road, Rawalpindi, Pakistan

    Ibrar Hussain

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  1. Ibrar Hussain
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Correspondence to Ibrar Hussain.

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Hussain, I. A note on Noether symmetries and conformal Killing vectors. Gen Relativ Gravit 42, 1791–1794 (2010). https://doi.org/10.1007/s10714-010-0949-9

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  • DOI: https://doi.org/10.1007/s10714-010-0949-9

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