Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/192834
Title: | Infinite-derivative linearized gravity in convolutional form |
Author: | Heredia, Carlos Kolar, Ivan Llosa, Josep Maldonado Torralba, Francisco José Mazundar, Anupam |
Keywords: | Convolucions (Matemàtica) Teoria quàntica Física matemàtica Convolutions (Mathematics) Quantum theory Mathematical physics |
Issue Date: | 22-Mar-2022 |
Publisher: | Institute of Physics (IOP) |
Abstract: | This article aims to transform the infinite-order Lagrangian density for ghost-free infinite-derivative linearized gravity into non-local form. To achieve it, we use the theory of generalized functions and the Fourier transform in the space of tempered distributions ${\mathcal{S}}^{\prime }$. We show that the non-local operator domain is not defined on the whole functional space but on a subset of it. Moreover, we prove that these functions and their derivatives are bounded in all ${\mathbb{R}}^{3}$ and, consequently, the Riemann tensor is regular and the scalar curvature invariants do not present any spacetime singularity. Finally, we explore what conditions we need to satisfy so that the solutions of the linearized equations of motion exist in ${\mathcal{S}}^{\prime }$. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1088/1361-6382/ac5a14 |
It is part of: | Classical and Quantum Gravity, 2022, vol. 39, num. 8, p. 085001 |
URI: | http://hdl.handle.net/2445/192834 |
Related resource: | https://doi.org/10.1088/1361-6382/ac5a14 |
ISSN: | 0264-9381 |
Appears in Collections: | Articles publicats en revistes (Física Quàntica i Astrofísica) |
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