Conformal motions of static cylindrically symmetric solutions in f(T, B) gravity

Abstract

In this paper, we investigate the conformal vector fields (CVFs) of static cylindrically symmetric (SCS) spacetimes in [Formula: see text] gravity, a novel modified teleparallel gravity that connects both [Formula: see text] and [Formula: see text] theories via a boundary term [Formula: see text]. Initially, we employ an algebraic approach to extract some classes that represent SCS solutions in [Formula: see text] gravity. Applying the above-mentioned approach, we find solutions in nine cases. We also investigate the CVFs using the direct integration technique. Following a thorough investigation, we discover that the spacetimes admit proper CVFs in only one case. In rest of the eight cases, the spacetimes either become conformally flat or they admit homothetic vector fields (HVFs) or Killing vector fields (KVFs). The overall dimension of CVFs for the spacetimes under consideration has come out to be 5, 6 or 15. To complete the study, we also compute the energy density and pressure of each model. Corresponding to the resulting models, we discuss the energy conditions in order to check the physical sound of the solutions.