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Dynamical stability of extended teleparallel gravity

Petr V. Tretyakov

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Joliot-Curie 6, 141980 Dubna, Russia

E-mail Address: tpv@theor.jinr.ru

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https://doi.org/10.1142/S0217732316500851Cited by:8 (Source: Crossref)

Abstract

We discuss modified teleparallel gravity with function $f (T, T_{G})$ $f (T, T_{G})$ in the action, where the function depends on two arguments: torsion scalar $T$ $T$ and analogue of Gauss–Bonnet invariant $T_{G}$ $T_{G}$ . In contradistinction to usual teleparallel gravity $f (T)$ $f (T)$ , this theory contains higher derivative terms, which may produce different instabilities. We discuss Minkowski stability problem in such kind of theories and explicitly demonstrate that for stability it must be $f_{T} (0, 0) < 0$ $f_{T} (0, 0) < 0$ , $f_{T_{G} T_{G}} > 0$ $f_{T_{G} T_{G}} > 0$ . We apply these restrictions for the few types of functions discussed by the early authors.

Keywords:

PACS: 04.05.Kd

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