Baumgarte–Shapiro–Shibata–Nakamura formalism in cylindrical coordinates: Brill and Teukolsky waves in both linear and nonlinear regimes.
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| Title: | Baumgarte–Shapiro–Shibata–Nakamura formalism in cylindrical coordinates: Brill and Teukolsky waves in both linear and nonlinear regimes. |
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| Authors: | Alcoforado, M. A.1 (AUTHOR) mariana.alcoforado@uerj.br, Aranha, R. F.1 (AUTHOR) rafael.aranha@uerj.br, de Oliveira, H. P.1 (AUTHOR) henrique.oliveira@uerj.br |
| Source: | European Physical Journal C -- Particles & Fields. Feb2026, Vol. 86 Issue 2, p1-15. 15p. |
| Subjects: | Gravitational waves, Nonlinear waves, Collocation methods, Simulation software |
| Abstract: | In this article we present a numerical code, based on the collocation or pseudospectal method, which integrates the equations of the BSSN formalism in cylindrical coordinates. In order to validate the code, we carried out a series of tests, using three groups of initial data: (i) pure gauge evolution; (ii) Teukolsky quadrupole solution for low amplitudes and (iii) Brill and Teukolsky solutions with higher amplitudes, which account for a deviation from the linear regime when compared to the case of low amplitudes. In practically all cases, violations of the Hamiltonian and momentum constraints were analyzed. We also analyze the behavior of the lapse function, which can characterize the collapse of gravitational waves into black holes. Furthermore, all three groups of tests used different computational mesh resolutions and different gauge choices, thus providing a general scan of most of the numerical solutions adopted. [ABSTRACT FROM AUTHOR] |
| Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 192428922 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Baumgarte–Shapiro–Shibata–Nakamura formalism in cylindrical coordinates: Brill and Teukolsky waves in both linear and nonlinear regimes. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Alcoforado%2C+M%2E+A%2E%22">Alcoforado, M. A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mariana.alcoforado@uerj.br</i><br /><searchLink fieldCode="AR" term="%22Aranha%2C+R%2E+F%2E%22">Aranha, R. F.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rafael.aranha@uerj.br</i><br /><searchLink fieldCode="AR" term="%22de+Oliveira%2C+H%2E+P%2E%22">de Oliveira, H. P.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> henrique.oliveira@uerj.br</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Feb2026, Vol. 86 Issue 2, p1-15. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Gravitational+waves%22">Gravitational waves</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+waves%22">Nonlinear waves</searchLink><br /><searchLink fieldCode="DE" term="%22Collocation+methods%22">Collocation methods</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+software%22">Simulation software</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this article we present a numerical code, based on the collocation or pseudospectal method, which integrates the equations of the BSSN formalism in cylindrical coordinates. In order to validate the code, we carried out a series of tests, using three groups of initial data: (i) pure gauge evolution; (ii) Teukolsky quadrupole solution for low amplitudes and (iii) Brill and Teukolsky solutions with higher amplitudes, which account for a deviation from the linear regime when compared to the case of low amplitudes. In practically all cases, violations of the Hamiltonian and momentum constraints were analyzed. We also analyze the behavior of the lapse function, which can characterize the collapse of gravitational waves into black holes. Furthermore, all three groups of tests used different computational mesh resolutions and different gauge choices, thus providing a general scan of most of the numerical solutions adopted. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=192428922 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1140/epjc/s10052-025-15084-y Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 1 Subjects: – SubjectFull: Gravitational waves Type: general – SubjectFull: Nonlinear waves Type: general – SubjectFull: Collocation methods Type: general – SubjectFull: Simulation software Type: general Titles: – TitleFull: Baumgarte–Shapiro–Shibata–Nakamura formalism in cylindrical coordinates: Brill and Teukolsky waves in both linear and nonlinear regimes. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Alcoforado, M. A. – PersonEntity: Name: NameFull: Aranha, R. F. – PersonEntity: Name: NameFull: de Oliveira, H. P. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 14346044 Numbering: – Type: volume Value: 86 – Type: issue Value: 2 Titles: – TitleFull: European Physical Journal C -- Particles & Fields Type: main |
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