# 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} }

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…

## One Citation

Higher derivative scalar tensor theory in unitary gauge

- MathematicsJournal of Cosmology and Astroparticle Physics
- 2022

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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