Journal
MODERN PHYSICS LETTERS A
Volume 31, Issue 14, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732316500851
Keywords
Modified gravity; Gauss-Bonnet; f(T) gravity; dynamical stability
Categories
Funding
- RSF [16-13-10401]
- Russian Science Foundation [16-12-10401] Funding Source: Russian Science Foundation
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We discuss modified teleparallel gravity with function f(T, T-G) in the action, where the function depends on two arguments: torsion scalar T and analogue of Gauss-Bonnet invariant T-G. In contradistinction to usual teleparallel gravity 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(TGTG) > 0. We apply these restrictions for the few types of functions discussed by the early authors.
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