Conflict between some higher-order curvature invariant terms. (arXiv:2106.06740v2 [gr-qc] UPDATED)

Conflict between some higher-order curvature invariant terms. (arXiv:2106.06740v2 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Saha_D/0/1/0/all/0/1">Dalia Saha</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Alam_M/0/1/0/all/0/1">Mohosin Alam</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Mandal_R/0/1/0/all/0/1">Ranajit Mandal</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Sanyal_A/0/1/0/all/0/1">Abhik Kumar Sanyal</a>

A viable quantum theory does not allow curvature invariant terms of different
higher orders to be accommodated in the gravitational action. We show that
there is indeed a conflict between the curvature squared and Gauss-Bonnet
squared term from the point of view of hermiticity. This means one should
choose either, in addition to the Einstein-Hilbert term, but never the two
together. The choice may be made from inflationary paradigm.

A viable quantum theory does not allow curvature invariant terms of different
higher orders to be accommodated in the gravitational action. We show that
there is indeed a conflict between the curvature squared and Gauss-Bonnet
squared term from the point of view of hermiticity. This means one should
choose either, in addition to the Einstein-Hilbert term, but never the two
together. The choice may be made from inflationary paradigm.

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