Gravitational Decoupling in Higher Order Theories
Gravitational decoupling via the Minimal Geometric Deformation (MGD) approach has been used extensively in General Relativity (GR), mainly as a simple method for generating exact anisotropic solutions from perfect fluid seed solutions. Recently this method has also been used to generate exact spheri...
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MDPI AG
2021-08-01
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Series: | Symmetry |
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Online Access: | https://www.mdpi.com/2073-8994/13/9/1598 |
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author | Joseph Sultana |
author_facet | Joseph Sultana |
author_sort | Joseph Sultana |
collection | DOAJ |
description | Gravitational decoupling via the Minimal Geometric Deformation (MGD) approach has been used extensively in General Relativity (GR), mainly as a simple method for generating exact anisotropic solutions from perfect fluid seed solutions. Recently this method has also been used to generate exact spherically symmetric solutions of the Einstein-scalar system from the Schwarzschild vacuum metric. This was then used to investigate the effect of scalar fields on the Schwarzschild black hole solution. We show that this method can be extended to higher order theories. In particular, we consider fourth order Einstein–Weyl gravity, and in this case by using the Schwarzschild metric as a seed solution to the associated vacuum field equations, we apply the MGD method to generate a solution to the Einstein–Weyl scalar theory representing a hairy black hole solution. This solution is expressed in terms of a series using the Homotopy Analysis Method (HAM). |
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format | Article |
id | doaj.art-ec0d38c88b274e998ba7eab14ce93dc2 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-10T07:11:05Z |
publishDate | 2021-08-01 |
publisher | MDPI AG |
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series | Symmetry |
spelling | doaj.art-ec0d38c88b274e998ba7eab14ce93dc22023-11-22T15:27:12ZengMDPI AGSymmetry2073-89942021-08-01139159810.3390/sym13091598Gravitational Decoupling in Higher Order TheoriesJoseph Sultana0Department of Mathematics, Faculty of Science, University of Malta, MSD 2080 Msida, MaltaGravitational decoupling via the Minimal Geometric Deformation (MGD) approach has been used extensively in General Relativity (GR), mainly as a simple method for generating exact anisotropic solutions from perfect fluid seed solutions. Recently this method has also been used to generate exact spherically symmetric solutions of the Einstein-scalar system from the Schwarzschild vacuum metric. This was then used to investigate the effect of scalar fields on the Schwarzschild black hole solution. We show that this method can be extended to higher order theories. In particular, we consider fourth order Einstein–Weyl gravity, and in this case by using the Schwarzschild metric as a seed solution to the associated vacuum field equations, we apply the MGD method to generate a solution to the Einstein–Weyl scalar theory representing a hairy black hole solution. This solution is expressed in terms of a series using the Homotopy Analysis Method (HAM).https://www.mdpi.com/2073-8994/13/9/1598Einstein–Weyl gravitygravitational decouplingblack holes |
spellingShingle | Joseph Sultana Gravitational Decoupling in Higher Order Theories Symmetry Einstein–Weyl gravity gravitational decoupling black holes |
title | Gravitational Decoupling in Higher Order Theories |
title_full | Gravitational Decoupling in Higher Order Theories |
title_fullStr | Gravitational Decoupling in Higher Order Theories |
title_full_unstemmed | Gravitational Decoupling in Higher Order Theories |
title_short | Gravitational Decoupling in Higher Order Theories |
title_sort | gravitational decoupling in higher order theories |
topic | Einstein–Weyl gravity gravitational decoupling black holes |
url | https://www.mdpi.com/2073-8994/13/9/1598 |
work_keys_str_mv | AT josephsultana gravitationaldecouplinginhigherordertheories |