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New nonlinear instability for scalar fields


Hassani, Farbod; Shi, Pan; Adamek, Julian; Kunz, Martin; Wittwer, Peter (2022). New nonlinear instability for scalar fields. Physical review D, 105(2):L021304.

Abstract

In this Letter, we introduce the nonlinear partial differential equation ∂2τπ∝(→∇π)2 showing a new type of instability. Such equations appear in the effective field theory (EFT) of dark energy for the k-essence model as well as in many other theories based on the EFT formalism. We demonstrate the occurrence of instability in the cosmological context using a relativistic N-body code, and we study it mathematically in 3+1 dimensions within spherical symmetry. We show that this term dominates for the low speed of sound limit where some important linear terms are suppressed.

Abstract

In this Letter, we introduce the nonlinear partial differential equation ∂2τπ∝(→∇π)2 showing a new type of instability. Such equations appear in the effective field theory (EFT) of dark energy for the k-essence model as well as in many other theories based on the EFT formalism. We demonstrate the occurrence of instability in the cosmological context using a relativistic N-body code, and we study it mathematically in 3+1 dimensions within spherical symmetry. We show that this term dominates for the low speed of sound limit where some important linear terms are suppressed.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Language:English
Date:10 January 2022
Deposited On:02 Dec 2022 14:01
Last Modified:29 Mar 2024 02:35
Publisher:American Physical Society
ISSN:2470-0010
OA Status:Green
Publisher DOI:https://doi.org/10.1103/physrevd.105.l021304
Project Information:
  • : FunderSchweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
  • : Grant ID
  • : Project Title
  • Content: Published Version
  • Language: English