2018
DOI: 10.1007/978-981-13-2715-5_5
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Variations of Infinite Derivative Modified Gravity

Abstract: We consider nonlocal modified Einstein gravity without matter, where nonlocal term has the form P (R)F ( )Q(R). For this model, in this paper we give the derivation of the equations of motion in detail. This is not an easy task and presented derivation should be useful to a researcher who wants to investigate nonlocal gravity. Also, we present the second variation of the related Einstein-Hilbert modified action and basics of gravity perturbations.

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Cited by 11 publications
(16 citation statements)
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References 52 publications
(66 reference statements)
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“…whereḠ µν is nonlocal modified Einstein tensor and V = √ R − 2Λ. For detailed derivation of equations of motions (5) we refer to [35].…”
Section: Action and Equations Of Motionmentioning
confidence: 99%
“…whereḠ µν is nonlocal modified Einstein tensor and V = √ R − 2Λ. For detailed derivation of equations of motions (5) we refer to [35].…”
Section: Action and Equations Of Motionmentioning
confidence: 99%
“…The next step in the investigation of nonlocal gravity model ( 2) is finding the corresponding equations of motion (EOM). It is done for a class of models (1) that contain (2); the derivation is presented in [39].…”
Section: Equations Of Motionmentioning
confidence: 99%
“…To better see the effects of nonlocal modification of GR in its geometrical sector, action (1) intentionally does not contain the matter term. Derivation of equations of motion that are related to nonlocal gravity (1) is a difficult task, and for details we refer to our paper [39]; see also [20].…”
Section: Introductionmentioning
confidence: 99%
“…The equations of motion for nonlocal gravity action in Equation ( 2) are derived in [38] and have the following form:…”
Section: Equations Of Motionmentioning
confidence: 99%