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Ghost-free Infinite Derivative Gravity (IDG) is a modified gravity theory which can avoid the singularities predicted by General Relativity. This thesis examines the effect of IDG on four areas of importance for theoretical cosmologists and…

General Relativity and Quantum Cosmology · Physics 2019-11-05 James Edholm

It turns out that the infinite derivative gravity (IDG) is ghost-free and renormalizable when one chooses the exponential of an entire function. For this IDG case, the corresponding Newtonian potential generated from the delta function is…

General Relativity and Quantum Cosmology · Physics 2017-09-15 Yun Soo Myung , Young-Jai Park

We derive the conditions whereby null rays `defocus' within Infinite Derivative Gravity for perturbations around an (A)dS background, and show that it is therefore possible to avoid singularities within this framework. This is in contrast…

General Relativity and Quantum Cosmology · Physics 2018-01-03 James Edholm , Aindriú Conroy

Recent study has shown that a non-singular oscillating potential, a feature of Infinite Derivative Gravity (IDG) theories, matches current experimental data better than the standard GR potential. In this work we show that this non-singular…

General Relativity and Quantum Cosmology · Physics 2017-08-16 Aindriú Conroy , James Edholm

We study exact impulsive gravitational waves propagating in anti-de Sitter spacetime in the context of the ghost free infinite derivative gravity. We show that the source-free theory does not admit any AdS wave solutions other than that of…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Suat Dengiz , Ercan Kilicarslan , Ivan Kolář , Anupam Mazumdar

A form of infinite derivative gravity is free from ghost-like instabilities with improved small scale behavior. In this theory, we calculate the tree-level scattering amplitude and the corresponding weak field potential energy between two…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Ercan Kilicarslan

The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons or exotic matter, while staying true to…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Aindriú Conroy

Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy…

High Energy Physics - Theory · Physics 2026-02-23 Molly Kaplan , Donald Marolf , Xuyang Yu , Ying Zhao

The vacuum solution of Einstein's theory of general relativity provides a rotating metric with a ring singularity, which is covered by the inner and outer horizons, and an ergo region. In this paper, we will discuss how ghost-free,…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Luca Buoninfante , Alan S. Cornell , Gerhard Harmsen , Alexey S. Koshelev , Gaetano Lambiase , João Marto , Anupam Mazumdar

A new cosmological model based on the de Sitter gauge theory (dSGT) is studied in this paper. By some transformations, we find, in the dust universe, the cosmological equations of dSGT could form an autonomous system. We conduct dynamics…

General Relativity and Quantum Cosmology · Physics 2011-11-09 Xi-Chen Ao , Xin-Zhou Li

With an appropriate choice of parameters, a higher derivative theory of gravity can describe a normal massive sector and a ghost massless sector. We show that, when defined on an asymptotically de Sitter spacetime with Dirichlet boundary…

High Energy Physics - Theory · Physics 2015-06-11 Minjoon Park , Lorenzo Sorbo

We explicitly demonstrate that the nonlocal ghost-free ultraviolet modification of general relativity (GR) known as the infinite derivative gravity (IDG) resolves nonscalar curvature singularities in exact solutions of the full theory. We…

General Relativity and Quantum Cosmology · Physics 2023-11-13 Ivan Kolář , Tomáš Málek

We constructed the ghost-free condition for nonlocal gravity using de-Sitter background field expansion and identified the structure of the nontrivial form factors. Our analysis shows that the particle spectrum of this model is nearly…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Haiyuan Feng , Rong-Jia Yang

Einstein's General theory of relativity is plagued by cosmological and blackhole type singularities Recently, it has been shown that infinite derivative, ghost free, gravity can yield non-singular cosmological and mini-blackhole solutions.…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Alexey S. Koshelev , Anupam Mazumdar

Einstein's General theory of relativity permits spacetime singularities, where null geodesic congruences focus in the presence of matter, which satisfies an appropriate energy condition. In this paper, we provide a minimal defocusing…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Aindriú Conroy , Alexey S. Koshelev , Anupam Mazumdar

A new representation is found for the action of the recently suggested ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant. This representation…

High Energy Physics - Theory · Physics 2015-06-11 A. O. Barvinsky , Yu. V. Gusev

The Hulse-Taylor binary provides possibly the best test of GR to date. We find the modified quadrupole formula for Infinite Derivative Gravity (IDG). We extend the backreaction formula for propagation of gravitational waves, found…

General Relativity and Quantum Cosmology · Physics 2018-09-12 James Edholm

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these…

High Energy Physics - Theory · Physics 2008-11-26 Gregory Gabadadze , Yanwen Shang

Infinite derivative theory of gravity is a modification to the general theory of relativity. Such modification maintains the massless graviton as the only true physical degree of freedom and avoids ghosts. Moreover, this class of modified…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Ali Teimouri

The de Sitter invariant special relativity is a natural extension of the usual Einstein special relativity. Within this framework a generalization of special relativity (SR) for the de Sitter space-time introduces a new length scale $R$,…

High Energy Physics - Phenomenology · Physics 2016-10-28 Daria A. Tretyakova
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