# 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…

## References

SHOWING 1-10 OF 13 REFERENCES

### A unifying description of dark energy

- Computer Science
- 2014

The approach provides a unified treatment of the linear cosmological perturbations about a FLRW universe, obtained by a systematic expansion of the general action up to quadratic order, and shows that the behaviour of these linear perturbation is generically characterized by five time-dependent functions.

### Cosmological consequences of a rolling homogeneous scalar field.

- PhysicsPhysical review. D, Particles and fields
- 1988

It is argued that a number of models in which the energy density of the scalar field red-shifts in a specific manner are studied could reconcile the low dynamical estimates of the mean mass density with the negligibly small spatial curvature preferred by inflation.

### Galileon as a local modification of gravity

- Physics
- 2009

In the Dvali-Gabadadze-Porrati (DGP) model, the "self-accelerating" solution is plagued by a ghost instability, which makes the solution untenable. This fact, as well as all interesting departures…

### BOOK REVIEW: Numerical Relativity: Solving Einstein's Equations on the Computer Numerical Relativity: Solving Einstein's Equations on the Computer

- Physics
- 2010

Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements.…

### MEM

- Catalysis from A to Z
- 2020

ALEXANDRE MARTINS DE OLIVEIRA CLEDIR QUINTINO DA SILVA ITALO VINICIUS WANDERLEY DA SILVA JACIANO ALVES BRASIL JOSE EUDO BARBOZA DE OLIVEIRA JOSE MIKAEL DA SILVA ALVES LOURDES MARTINS FERNANDES…

### Second-order scalar-tensor field equations in a four-dimensional space

- Mathematics
- 1974

Lagrange scalar densities which are concomitants of a pseudo-Riemannian metric-tensor, a scalar field and their derivatives of arbitrary order are considered. The most general second-order…

### Supernova Search Team)

- Astron. J. 116,
- 1998

### Int

- J. Mod. Phys. D23, 1443010
- 2015

### Journal of Cosmology and Astroparticle Physics 2016

- 034
- 2016

### International Journal of Theoretical Physics 10

- 363
- 1974