2022/07/18 by Paliathanasis, Andronikos
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2207.08575
The Noether symmetry analysis is applied for the analysis of the field equations in an anisotropic background in f(T,B)-theory. We consider the f( T,B) =T+F( B) which describes a small deviation from TEGR introduced by the boundary scalar B. For the Bianchi I, Bianchi III and Kantowski-Sachs geometries there exists a minisuperspace description and Noether's theorems are applied. We investigate the existence of invariant point transformations. We find that for the Bianchi I spacetime the gravitational field equations are Liouville integrable for the F( B) =-\fracBλln B theory. The analytic solution is derived and the application of Noether symmetries to the Wheeler-DeWitt equation of quantum cosmology is discussed.