Higher Derivative Theory for Curvature Term Coupling with Scalar Field

Autor: Sukanta Panda, Pawan Joshi
Rok vydání: 2021
Předmět:
Zdroj: Springer Proceedings in Physics ISBN: 9789813344075
DOI: 10.1007/978-981-33-4408-2_128
Popis: Higher order derivative theories, generally suffer from instabilities, known as Ostrogradsky instabilities. This issue can be resolved by removing any existing degeneracy present in such theories. We consider a model involving at most second-order derivatives of scalar field non-minimally coupled to curvature terms. Here we perform (3+1) decomposition of Lagrangian to separate second-order time derivative from the rest. This is useful to check the degeneracy hidden in the Lagrangian will help us to find conditions under which Ostrogradsky instability does not appear. In our case, we find no such non-trivial conditions which can stop the appearance of the Ostrogradsky ghost.
Databáze: OpenAIRE