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Boiza, Carlos G. and Ruiz Cembranos, José Alberto (2022) Pseudo-Kahler-Einstein geometries. Physical review D, 105 (6). ISSN 2470-0010
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Official URL: http://dx.doi.org/10.1103/PhysRevD.105.065006
Abstract
Solutions to vacuum Einstein field equations with cosmological constants, such as the de Sitter space and the anti-de Sitter space, are basic in different cosmological and theoretical developments. It is also well known that complex structures admit metrics of this type. The most famous example is the complex projective space endowed with the Fubini-Study metric. In this work, we perform a systematic study of Einstein complex geometries derived from a logarithmic Kahler potential. Depending on the different contribution to the argument of such logarithmic term, we shall distinguish among direct, inverted and hybrid coordinates. They are directly related to the signature of the metric and determine the maximum domain of the complex space where the geometry can be defined.
Item Type: | Article |
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Additional Information: | © 2022 Amer Physical Soc |
Uncontrolled Keywords: | Curvature |
Subjects: | Sciences > Physics |
ID Code: | 71832 |
Deposited On: | 11 May 2022 18:29 |
Last Modified: | 27 Feb 2023 17:39 |
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