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http://hdl.handle.net/2445/192834
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DC Field | Value | Language |
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dc.contributor.author | Heredia, Carlos | - |
dc.contributor.author | Kolar, Ivan | - |
dc.contributor.author | Llosa, Josep | - |
dc.contributor.author | Maldonado Torralba, Francisco José | - |
dc.contributor.author | Mazundar, Anupam | - |
dc.date.accessioned | 2023-01-30T18:53:40Z | - |
dc.date.available | 2023-03-22T06:10:26Z | - |
dc.date.issued | 2022-03-22 | - |
dc.identifier.issn | 0264-9381 | - |
dc.identifier.uri | http://hdl.handle.net/2445/192834 | - |
dc.description.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 ${\mathcal{S}}^{\prime }$. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Institute of Physics (IOP) | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1088/1361-6382/ac5a14 | - |
dc.relation.ispartof | Classical and Quantum Gravity, 2022, vol. 39, num. 8, p. 085001 | - |
dc.relation.uri | https://doi.org/10.1088/1361-6382/ac5a14 | - |
dc.rights | cc-by-nc-nd (c) Institute of Physics (IOP), 2022 | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Articles publicats en revistes (Física Quàntica i Astrofísica) | - |
dc.subject.classification | Convolucions (Matemàtica) | - |
dc.subject.classification | Teoria quàntica | - |
dc.subject.classification | Física matemàtica | - |
dc.subject.other | Convolutions (Mathematics) | - |
dc.subject.other | Quantum theory | - |
dc.subject.other | Mathematical physics | - |
dc.title | Infinite-derivative linearized gravity in convolutional form | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 725900 | - |
dc.date.updated | 2023-01-30T18:53:40Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Física Quàntica i Astrofísica) |
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File | Description | Size | Format | |
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725900.pdf | 1.1 MB | Adobe PDF | View/Open |
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