Newtonian potential and geodesic completeness in infinite derivative gravity

Edholm, James and Conroy, Aindriú (2017) Newtonian potential and geodesic completeness in infinite derivative gravity. Physical Review D, 96 (4): 044012. ISSN 1550-7998

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Recent study has shown that a nonsingular oscillating potential—a feature of infinite derivative gravity theories—matches current experimental data better than the standard General Relativity potential. In this work, we show that this nonsingular oscillating potential can be given by a wider class of theories which allows the defocusing of null rays and therefore geodesic completeness. We consolidate the conditions whereby null geodesic congruences may be made past complete, via the Raychaudhuri equation, with the requirement of a nonsingular Newtonian potential in an infinite derivative gravity theory. In doing so, we examine a class of Newtonian potentials characterized by an additional degree of freedom in the scalar propagator, which returns the familiar potential of General Relativity at large distances.

Item Type:
Journal Article
Journal or Publication Title:
Physical Review D
Additional Information:
© 2017 American Physical Society
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Deposited On:
31 Aug 2017 08:44
Last Modified:
15 Jul 2024 17:07