New conformal-metric solutions for continuous distributions of disclination-like defects.
Saved in:
| Title: | New conformal-metric solutions for continuous distributions of disclination-like defects. |
|---|---|
| Authors: | Carvalho, A. M. de M.1 (AUTHOR) alexandre@fis.ufal.br, Garcia, G. Q.2 (AUTHOR) gqgarcia99@gmail.com, Furtado, C.3 (AUTHOR) furtado@fisica.ufpb.br |
| Source: | International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 2/20/2026, Vol. 41 Issue 5, p1-16. 16p. |
| Subjects: | Disclinations, Conformal geometry, Poisson's equation, Gauss-Bonnet theorem, Gaussian distribution, Topological defects (Physics) |
| Abstract: | In this paper, we develop a conformal formulation for two-dimensional geometries sourced by continuous distributions of topological defects, reducing the problem to a Poisson equation for the conformal factor. Throughout, we focus on radially symmetric, curvature-type (disclination-like) defect distributions in a torsion-free geometry. Closed-form solutions are obtained for Gaussian, exponential and power-law (1 ∕ r) profiles. The Gaussian profile yields a regular core and an asymptotically flat far field. The exponential profile is treated on the punctured plane (r > 0), producing sharply localized curvature with finite total flux. For the 1 ∕ r case, we work on the punctured plane (or on annuli), obtaining an exterior logarithmic solution that encodes a conical geometry; more general power-law profiles require finite domains or decay to ensure integrability. In all cases, Gauss–Bonnet on annuli provides a global relation equating total curvature (holonomy/deficit angle) to the integrated defect density, while the δ -limit reproduces the standard conical geometry with distributional curvature. The framework offers a unified, physically motivated description of finite-core disclination-like defects relevant to analog gravity and two-dimensional material systems. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company 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 |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 191661483 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: New conformal-metric solutions for continuous distributions of disclination-like defects. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Carvalho%2C+A%2E+M%2E+de+M%2E%22">Carvalho, A. M. de M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> alexandre@fis.ufal.br</i><br /><searchLink fieldCode="AR" term="%22Garcia%2C+G%2E+Q%2E%22">Garcia, G. Q.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> gqgarcia99@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Furtado%2C+C%2E%22">Furtado, C.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> furtado@fisica.ufpb.br</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modern+Physics+A%3A+Particles+%26+Fields%3B+Gravitation%3B+Cosmology%3B+Nuclear+Physics%22">International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics</searchLink>. 2/20/2026, Vol. 41 Issue 5, p1-16. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Disclinations%22">Disclinations</searchLink><br /><searchLink fieldCode="DE" term="%22Conformal+geometry%22">Conformal geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Poisson's+equation%22">Poisson's equation</searchLink><br /><searchLink fieldCode="DE" term="%22Gauss-Bonnet+theorem%22">Gauss-Bonnet theorem</searchLink><br /><searchLink fieldCode="DE" term="%22Gaussian+distribution%22">Gaussian distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+defects+%28Physics%29%22">Topological defects (Physics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we develop a conformal formulation for two-dimensional geometries sourced by continuous distributions of topological defects, reducing the problem to a Poisson equation for the conformal factor. Throughout, we focus on radially symmetric, curvature-type (disclination-like) defect distributions in a torsion-free geometry. Closed-form solutions are obtained for Gaussian, exponential and power-law (1 ∕ r) profiles. The Gaussian profile yields a regular core and an asymptotically flat far field. The exponential profile is treated on the punctured plane (r > 0), producing sharply localized curvature with finite total flux. For the 1 ∕ r case, we work on the punctured plane (or on annuli), obtaining an exterior logarithmic solution that encodes a conical geometry; more general power-law profiles require finite domains or decay to ensure integrability. In all cases, Gauss–Bonnet on annuli provides a global relation equating total curvature (holonomy/deficit angle) to the integrated defect density, while the δ -limit reproduces the standard conical geometry with distributional curvature. The framework offers a unified, physically motivated description of finite-core disclination-like defects relevant to analog gravity and two-dimensional material systems. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company 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=191661483 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0217751X26500454 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 1 Subjects: – SubjectFull: Disclinations Type: general – SubjectFull: Conformal geometry Type: general – SubjectFull: Poisson's equation Type: general – SubjectFull: Gauss-Bonnet theorem Type: general – SubjectFull: Gaussian distribution Type: general – SubjectFull: Topological defects (Physics) Type: general Titles: – TitleFull: New conformal-metric solutions for continuous distributions of disclination-like defects. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Carvalho, A. M. de M. – PersonEntity: Name: NameFull: Garcia, G. Q. – PersonEntity: Name: NameFull: Furtado, C. IsPartOfRelationships: – BibEntity: Dates: – D: 20 M: 02 Text: 2/20/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 0217751X Numbering: – Type: volume Value: 41 – Type: issue Value: 5 Titles: – TitleFull: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics Type: main |
| ResultId | 1 |
