The Second-Order Correction to the Energy and Momentum in Plane Symmetric Gravitational Waves Like Spacetimes
Department of Mathematics, Kohat University of Science and Technology, Kohat 26000, Pakistan
Author to whom correspondence should be addressed.
Received: 5 December 2018 / Revised: 18 January 2019 / Accepted: 22 January 2019 / Published: 13 February 2019
This research provides second-order approximate Noether symmetries of geodetic Lagrangian of time-conformal plane symmetric spacetime. A time-conformal factor is of the form
which perturbs the plane symmetric static spacetime, where
is small a positive parameter that produces perturbation in the spacetime. By considering the perturbation up to second-order in
in plane symmetric spacetime, we find the second order approximate Noether symmetries for the corresponding Lagrangian. Using Noether theorem, the corresponding second order approximate conservation laws are investigated for plane symmetric gravitational waves like spacetimes. This technique tells about the energy content of the gravitational waves.
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Ali, M.; Ali, F.; Saboor, A.; Ghafar, M.S.; Khan, A.S. The Second-Order Correction to the Energy and Momentum in Plane Symmetric Gravitational Waves Like Spacetimes. Symmetry 2019, 11, 220.
Ali M, Ali F, Saboor A, Ghafar MS, Khan AS. The Second-Order Correction to the Energy and Momentum in Plane Symmetric Gravitational Waves Like Spacetimes. Symmetry. 2019; 11(2):220.
Ali, Mutahir; Ali, Farhad; Saboor, Abdus; Ghafar, M. S.; Khan, Amir S. 2019. "The Second-Order Correction to the Energy and Momentum in Plane Symmetric Gravitational Waves Like Spacetimes." Symmetry 11, no. 2: 220.
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