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Sources in the Weyl double copy
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Sources in the Weyl double copy
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The Weyl double copy relates exact solutions in general relativity to exact solutions in gauge theory, formulated in the spinorial language. To date, the Weyl double copy is understood and employed only for vacuum spacetimes, and hence only to vacuum gauge theories. In this letter, we propose an extension to the Weyl double copy that provides a systematic procedure for treating gravitational sources. We show this extended Weyl double copy gives a new perspective on the Kerr-Newman black hole and the general class of Petrov type D electro-vac spacetimes.
Forward citations
Cited by 6 Pith papers
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Black Hole Interiors as a Laboratory for Time-Dependent Classical Double Copy
Trapped black hole interiors admit exact time-dependent classical double copy via Kantowski-Sachs patches from static Kerr-Schild data, characterized by p_parallel = -ρ, with finite single-copy fields in regular solut...
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Untwisting the double copy: the zeroth copy as an optical seed
A single complex optical seed built from expansion and twist organizes stationary Kerr-Schild geometries, reconstructs the congruence, and encodes the zeroth-copy data that generates both the gravitational profile and...
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The Smarr Formula is Gauss's Law: A Kerr-Schild Single-Copy Perspective
The Smarr formula is structurally identical to the single-copy Gauss's law for Kerr-Schild black holes, with the AdS pressure-volume term arising from gauge background subtraction.
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Minisuperspace Double Copy in Lifshitz Spacetimes
A radial operator extracted from the reduced gravitational dynamics in Lifshitz spacetimes directly reproduces the Maxwell operator for the temporal single-copy field without using equations of motion.
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The Penrose Transform and the Kerr-Schild double copy
The Kerr-Schild and twistorial double copies are equivalent for self-dual vacuum Kerr-Schild spacetimes.
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Weyl double copy in Lifshitz spacetimes
The regularization prescription for the Weyl double copy restores consistency with the Kerr-Schild double copy across three distinct Lifshitz black hole examples.
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