English

Response to Comment on "Reexamining $f(R,T)$ Gravity''

General Relativity and Quantum Cosmology 2020-06-24 v1

Abstract

Harko and Moraes claim that in f(R,T)f(R,T) gravity with f(R,T)=f1(R)+f2(T)f(R,T)=f_1(R)+f_2(T), the term f2(T)f_2(T) cannot be incorporated in the matter Lagrangian Lm{\cal L}_m. A careful examination of their Comment finds that they have made several dubious assumptions without indicating any errors in our work. Most notably, they have unjustifiably claimed that the two terms Lm{\cal L}_m and f2(T)f_2(T) are of ``different origin,'' and their inference that only the first contributes to the energy momentum tensor is arbitrary. Also significant, their derivation of equations of motion from a Lagrangian formulation, imposing conservation constraints {\it ad hoc} rather than via Lagrange multipliers, leads to inconsistent conclusions.

Keywords

Cite

@article{arxiv.2004.02934,
  title  = {Response to Comment on "Reexamining $f(R,T)$ Gravity''},
  author = {Sarah B. Fisher and Eric D. Carlson},
  journal= {arXiv preprint arXiv:2004.02934},
  year   = {2020}
}