Electromagnetic Duality in General Relativity

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作者
Naresh Dadhich
机构
[1] Inter-University Centre for Astronomy & Astrophysics,
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Einstein vacuum; Maxwell duality; electrogravity duality; global monopole; black hole;
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摘要
By resolving the Riemann curvature relative to a unit timelike vector into electric and magnetic parts, we consider duality relations analogous to those in electromagnetic theory. It turns out that the duality transformation implies the Einstein vacuum equation without the cosmological term. The vacuum equation is invariant under interchange of active and passive electric parts, giving rise to the same vacuum solutions but with the opposite sign for the gravitational constant. Further, by modifying the equation it is possible to construct interesting dual solutions to vacuum as well as to flat spacetimes.
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页码:1009 / 1023
页数:14
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