Higher Derivative Theory for Curvature Term Coupling with Scalar Field

@article{Joshi2021HigherDT,
  title={Higher Derivative Theory for Curvature Term Coupling with Scalar Field},
  author={Pawan Kumar Joshi and Sukanta Panda},
  journal={Springer Proceedings in Physics},
  year={2021}
}
  • P. Joshi, S. Panda
  • Published 6 June 2019
  • Physics, Mathematics
  • Springer Proceedings in Physics
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 form the rest. This is useful to check the degeneracy hidden in the Lagrangian will help… 
Higher derivative scalar tensor theory in unitary gauge
Ostrogradsky instability generally appears in nondegenerate higher-order derivative theories and this issue can be resolved by removing any existing degeneracy present in such theories. We consider

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