EXACT SOLUTIONS OF INFINITE DERIVATIVE GRAVITY

Date

2021-8

Author

Öcal, Sultan Eylül

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Infinite Derivative Gravity (IDG) is a modified gravity theory which can avoid the singularities and Ultraviolet problem of gravity. This thesis examines the effects of IDG on these problems. First, the propagators and Newtonian potential will be examined as well as the conditions necessary for avoidance of singularities for perturbations around Minkowski background are found. Second, we study the exact pp-wave and AdS-plane wave solutions of quadratic and Infinite derivative gravity theories. We construct exact gravitational shock and impulsive wave solutions of IDG. We have demonstrated that unlike the Einstein's general relativity, even though these waves are created by linear sources having Dirac delta type singularities, singularities get smeared by the non-local interactions. All the calculations are just a review.

Subject Keywords

AdS-plane wave, Infinite Derivative Gravity, Non-local interactions, Pp-wave, Singularities

URI

https://hdl.handle.net/11511/92109

Collections

Graduate School of Natural and Applied Sciences, Thesis