Conformally Flat Siklos Metrics Are Ricci Solitons
We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/9/2/64 |
| _version_ | 1797565796799479808 |
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| author | Giovanni Calvaruso |
| author_facet | Giovanni Calvaruso |
| author_sort | Giovanni Calvaruso |
| collection | DOAJ |
| description | We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons. |
| first_indexed | 2024-03-10T19:18:04Z |
| format | Article |
| id | doaj.art-93543b04a20b47c2910c49500a90a8f8 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T19:18:04Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-93543b04a20b47c2910c49500a90a8f82023-11-20T03:14:37ZengMDPI AGAxioms2075-16802020-06-01926410.3390/axioms9020064Conformally Flat Siklos Metrics Are Ricci SolitonsGiovanni Calvaruso0Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Prov. Lecce-Arnesano, 73100 Lecce, ItalyWe study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.https://www.mdpi.com/2075-1680/9/2/64exact solutionsSiklos spacetimesRicci solitonsconformally flat metricsgradient Ricci solitons |
| spellingShingle | Giovanni Calvaruso Conformally Flat Siklos Metrics Are Ricci Solitons Axioms exact solutions Siklos spacetimes Ricci solitons conformally flat metrics gradient Ricci solitons |
| title | Conformally Flat Siklos Metrics Are Ricci Solitons |
| title_full | Conformally Flat Siklos Metrics Are Ricci Solitons |
| title_fullStr | Conformally Flat Siklos Metrics Are Ricci Solitons |
| title_full_unstemmed | Conformally Flat Siklos Metrics Are Ricci Solitons |
| title_short | Conformally Flat Siklos Metrics Are Ricci Solitons |
| title_sort | conformally flat siklos metrics are ricci solitons |
| topic | exact solutions Siklos spacetimes Ricci solitons conformally flat metrics gradient Ricci solitons |
| url | https://www.mdpi.com/2075-1680/9/2/64 |
| work_keys_str_mv | AT giovannicalvaruso conformallyflatsiklosmetricsarericcisolitons |