New non-singular cosmological solution of non-local gravity

Abstract

We present a new bouncing cosmological solution of the non-local theory known as infinite derivative gravity, which goes beyond the recursive ansatz, $\square R=r_{1}R+r_2$. The non-local field equations are evaluated using the spectral decomposition with respect to the eigenfunctions of the wave operator. The energy-momentum tensor computed for this geometry turns out to be much more sensitive to the choice of the non-local form-factor, since it depends on the value of the function on a continuous infinite interval. We show that this stronger dependence on the form-factor allows us to source the geometry by the perfect fluid with the non-negative energy density satisfying the strong energy condition. We show that this bouncing behaviour is not possible in the local theories of gravity such as in general relativity or $R+R^2$ gravity sourced by a fluid which meets the non-negative energy and strong energy conditions.

arXiv comment12 pages

References in corpus (42)

• Planck 2015 results. XIII. Cosmological parameters
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Can modified gravity explain accelerated cosmic expansion?
• Towards singularity and ghost free theories of gravity
• Super-renormalizable Quantum Gravity
• Bouncing Universes in String-inspired Gravity
• The Expansion of the Universe is Faster than Expected
• Singularity Theorems and Their Consequences
• Matter instability in modified gravity
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Stable bounce and inflation in non-local higher derivative cosmology
• Generalized ghost-free quadratic curvature gravity
• Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events
• Mass-gap for black hole formation in higher derivative and ghost free gravity
• Minimal conditions for the creation of a Friedman-Robertson-Walker universe from a "bounce"
• Superrenormalizable gauge and gravitational theories
• Head-on collision of ultrarelativistic particles in ghost-free theories of gravity
• Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity
• On bouncing solutions in non-local gravity
• Stable analytic bounce in non-local Einstein-Gauss-Bonnet cosmology
• Do massive compact objects without event horizon exist in infinite derivative gravity?
• The gravitational field of static p-branes in linearized ghost-free gravity
• $R^2$ inflation to probe non-perturbative quantum gravity
• Towards nonsingular rotating compact object in ghost-free infinite derivative gravity
• Non-singular metric for an electrically charged point-source in ghost-free infinite derivative gravity
• Nonlocal star as a blackhole mimicker
• Non-Gaussianities and tensor-to-scalar ratio in non-local $R^2$-like inflation
• Analytic infinite derivative gravity, $R^2$-like inflation, quantum gravity and CMB
• Ultrarelativistic spinning objects in non-local ghost-free gravity
• $pp$-waves as exact solutions to ghost-free infinite derivative gravity
• Impulsive waves in ghost free infinite derivative gravity in anti-de Sitter spacetime
• NUT charge in linearized infinite derivative gravity
• Nonlocal gravity with worldline inversion symmetry
• Exact solutions of non-local gravity in a class of almost universal spacetimes
• UV Completion on the Worldline
• An anisotropic bouncing universe in non-local gravity
• Stable, non-singular bouncing universe with only a scalar mode
• Retarded field of a uniformly accelerated source in non-local scalar field theory
• Non-local Starobinsky inflation in the light of future CMB
• Bouncing cosmology in the limiting curvature theory of gravity
• Bouncing Cosmologies

Cited by in corpus (7)

• Nonlocal de Sitter gravity and its exact cosmological solutions
• Infinite-derivative linearized gravity in convolutional form
• Cosmology in nonlocal gravity
• New Cosmological Solutions of a Nonlocal Gravity Model
• Fate of the false vacuum in string-inspired nonlocal field theory
• Smearing out contact terms in ghost-free infinite derivative quantum gravity
• Renormalisable Non-local Quark-Gluon Interaction: Mass Gap, Chiral Symmetry Breaking & Scale Invariance