The Chini integrability condition in second order Lovelock gravity
Abstract We analyse neutral and charged matter distributions in second order Lovelock gravity, also known as Einstein–Gauss–Bonnet gravity, in arbitrary dimensions for a static, spherically symmetric spacetime. We first transform the charged condition of pressure isotropy, an Abel differential equat...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13660-2 |
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| author | Mohammed O. E. Ismail Sunil D. Maharaj Byron P. Brassel |
| author_facet | Mohammed O. E. Ismail Sunil D. Maharaj Byron P. Brassel |
| author_sort | Mohammed O. E. Ismail |
| collection | DOAJ |
| description | Abstract We analyse neutral and charged matter distributions in second order Lovelock gravity, also known as Einstein–Gauss–Bonnet gravity, in arbitrary dimensions for a static, spherically symmetric spacetime. We first transform the charged condition of pressure isotropy, an Abel differential equation of the second kind, into canonical form. We then determine a systematic approach to integrate the condition of pressure isotropy by showing that the canonical form is a Chini differential equation. The Chini invariant, which allows the master differential equation to be separable, is identified. This enables us to find three new general solutions, in implicit form, to the condition of pressure isotropy. We also show that previously obtained exact specific solutions arise as special cases in our general class of models. The Chini invariant does not arise in general relativity; it is a distinguishing feature of Einstein–Gauss–Bonnet gravity. |
| format | Article |
| id | doaj-art-376128948c9340d3bfac561be3f814e5 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-376128948c9340d3bfac561be3f814e52025-02-02T12:39:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211410.1140/epjc/s10052-024-13660-2The Chini integrability condition in second order Lovelock gravityMohammed O. E. Ismail0Sunil D. Maharaj1Byron P. Brassel2Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-NatalAstrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-NatalAstrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-NatalAbstract We analyse neutral and charged matter distributions in second order Lovelock gravity, also known as Einstein–Gauss–Bonnet gravity, in arbitrary dimensions for a static, spherically symmetric spacetime. We first transform the charged condition of pressure isotropy, an Abel differential equation of the second kind, into canonical form. We then determine a systematic approach to integrate the condition of pressure isotropy by showing that the canonical form is a Chini differential equation. The Chini invariant, which allows the master differential equation to be separable, is identified. This enables us to find three new general solutions, in implicit form, to the condition of pressure isotropy. We also show that previously obtained exact specific solutions arise as special cases in our general class of models. The Chini invariant does not arise in general relativity; it is a distinguishing feature of Einstein–Gauss–Bonnet gravity.https://doi.org/10.1140/epjc/s10052-024-13660-2 |
| spellingShingle | Mohammed O. E. Ismail Sunil D. Maharaj Byron P. Brassel The Chini integrability condition in second order Lovelock gravity European Physical Journal C: Particles and Fields |
| title | The Chini integrability condition in second order Lovelock gravity |
| title_full | The Chini integrability condition in second order Lovelock gravity |
| title_fullStr | The Chini integrability condition in second order Lovelock gravity |
| title_full_unstemmed | The Chini integrability condition in second order Lovelock gravity |
| title_short | The Chini integrability condition in second order Lovelock gravity |
| title_sort | chini integrability condition in second order lovelock gravity |
| url | https://doi.org/10.1140/epjc/s10052-024-13660-2 |
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