Classification of Robinson-Trautman and Kundt geometries with Large D limit
Abstract Algebraic classification of higher dimensional, shear-free, twist-free, expanding (or non-expanding) spacetime is studied with the limit of D → ∞. Similar to classification of any arbitrary dimension D > 4, this spacetime is Type I(b) or more special, according to our calculations. Howev...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2022)003 |
| _version_ | 1811342844406792192 |
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| author | Pınar Kirezli |
| author_facet | Pınar Kirezli |
| author_sort | Pınar Kirezli |
| collection | DOAJ |
| description | Abstract Algebraic classification of higher dimensional, shear-free, twist-free, expanding (or non-expanding) spacetime is studied with the limit of D → ∞. Similar to classification of any arbitrary dimension D > 4, this spacetime is Type I(b) or more special, according to our calculations. However, thanks to the method of taking the limit of dimension D → ∞, the relevant Weyl scalars become much simpler. Without solving field equations, by determining obligatory conditions to the components of Weyl scalar vanish, the spacetime is classified Type I(a), Type II(a-b-c-d), Type III(a-b), Type N and Type O for primary Weyl aligned null direciton (WAND), and Type I i , Type II i , Type III i and Type D(a-b-c-d) for secondary WAND. |
| first_indexed | 2024-04-13T19:18:05Z |
| format | Article |
| id | doaj.art-7faa1ef0f8a84fd98e3ef995032ca71c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T19:18:05Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7faa1ef0f8a84fd98e3ef995032ca71c2022-12-22T02:33:37ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022811810.1007/JHEP08(2022)003Classification of Robinson-Trautman and Kundt geometries with Large D limitPınar Kirezli0Department of Physics, Faculty of Arts and Sciences, Namık Kemal UniversityAbstract Algebraic classification of higher dimensional, shear-free, twist-free, expanding (or non-expanding) spacetime is studied with the limit of D → ∞. Similar to classification of any arbitrary dimension D > 4, this spacetime is Type I(b) or more special, according to our calculations. However, thanks to the method of taking the limit of dimension D → ∞, the relevant Weyl scalars become much simpler. Without solving field equations, by determining obligatory conditions to the components of Weyl scalar vanish, the spacetime is classified Type I(a), Type II(a-b-c-d), Type III(a-b), Type N and Type O for primary Weyl aligned null direciton (WAND), and Type I i , Type II i , Type III i and Type D(a-b-c-d) for secondary WAND.https://doi.org/10.1007/JHEP08(2022)003Classical Theories of GravityLarge Extra Dimensions |
| spellingShingle | Pınar Kirezli Classification of Robinson-Trautman and Kundt geometries with Large D limit Journal of High Energy Physics Classical Theories of Gravity Large Extra Dimensions |
| title | Classification of Robinson-Trautman and Kundt geometries with Large D limit |
| title_full | Classification of Robinson-Trautman and Kundt geometries with Large D limit |
| title_fullStr | Classification of Robinson-Trautman and Kundt geometries with Large D limit |
| title_full_unstemmed | Classification of Robinson-Trautman and Kundt geometries with Large D limit |
| title_short | Classification of Robinson-Trautman and Kundt geometries with Large D limit |
| title_sort | classification of robinson trautman and kundt geometries with large d limit |
| topic | Classical Theories of Gravity Large Extra Dimensions |
| url | https://doi.org/10.1007/JHEP08(2022)003 |
| work_keys_str_mv | AT pınarkirezli classificationofrobinsontrautmanandkundtgeometrieswithlargedlimit |