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EXACT SOLUTIONS OF INFINITE DERIVATIVE GRAVITY
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tez 7 eylül.pdf
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
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S. E. Öcal, “EXACT SOLUTIONS OF INFINITE DERIVATIVE GRAVITY,” M.S. - Master of Science, Middle East Technical University, 2021.