Lie symmetries of the energy-momentum tensor for plane symmetric static spacetimes
K. Saifullah
Abstract
Matter collineations (MCs) are the vector fields along which the energy-momentum tensor remains invariant under the Lie transport. Invariance of the metric, the Ricci and the Riemann tensors have been studied extensively and the vectors along which these tensors remain invariant are called Killing vectors (KVs), Ricci collineations (RCs) and curvature collineations (CCs), respectively. In this paper plane symmetric static spacetimes have been studied for their MCs. Explicit form of MCs together with the Lie algebra admitted by them has been presented. Examples of spacetimes have been constructed for which MCs have been compared with their RCs and KVs. The comparison shows that neither of the sets of RCs and MCs contains the other, in general.
Create a lesson
Related papers
Testing compact binary nature in eccentric orbits with third-generation detectors
Syed U. Naqvi, Kaushik Paul, Chandra Kant Mishra
Turning Selection Bias into a New Statistic: Asymmetry and Fringes of Lensed Gravitational Waves
Juno C. L. Chan, Elwin K. Y. Li
Exact two-loop gravitational tail integrals and their ultraviolet-infrared structure
Gabriel Luz Almeida
Noncommutative BTZ Gravastar in Gauss-Bonnet Gravity
M. A. Anacleto, A. T. N. Silva, L. Casarini et al.
Mini-Superspace Hamiltonian Dynamics and Canonical Quantization of Bumblebee Cosmology
Pranjal Sarmah
Dynamical stability and observational constraints on a late-time dark-matter particle-creation model
Anirban Chatterjee