Abstract
We construct an asymptotically flat, stationary and biaxisymmetric supersymmetric black lens solution in five-dimensional U(1)^3 supergravity. It is shown that the spatial cross section of the horizon is topologically the lens space of L(n,1), and the spacetime is regular on/outside the event horizon. The black lens carries (3n+2) physical quantities, three electric charges, two angular momenta and 3(n-1) magnetic fluxes.
Highlights
It was shown in Refs. [1,2,3,4] that for an asymptotically flat, stationary, and biaxisymmetric five-dimensional black hole spacetime, the spatial cross section of each connected component of the event horizon must be topologically either a sphere S3, a ring S1 × S2, or lens spaces Lðp; qÞ (p; q∶ coprime integers) under the dominant energy condition
As for asymptotically flat supersymmetric black objects in the five-dimensional minimal supergravity, the properties have been so far studied by many authors
We have generalized the asymptotically flat supersymmetric black lens solution with the horizon topology of Lðn; 1Þ in the five-dimensional minimal supergravity [17] to the five-dimensional Uð1Þ3 supergravity, which corresponds to the extension of the black lens solution with the lens space Lð2; 1Þ to the black lens solution with the more genera lens spaces Lðn; 1Þ (n ≥ 3)
Summary
It was shown in Refs. [1,2,3,4] that for an asymptotically flat, stationary, and biaxisymmetric five-dimensional black hole spacetime, the spatial cross section of each connected component of the event horizon must be topologically either a sphere S3, a ring S1 × S2, or lens spaces Lðp; qÞ (p; q∶ coprime integers) under the dominant energy condition. [1,2,3,4] that for an asymptotically flat, stationary, and biaxisymmetric five-dimensional black hole spacetime, the spatial cross section of each connected component of the event horizon must be topologically either a sphere S3, a ring S1 × S2, or lens spaces Lðp; qÞ (p; q∶ coprime integers) under the dominant energy condition. Recently, the asymptotically flat supersymmetric black hole solution with the special horizon topology of Lð2; 1Þ 1⁄4 S3=Z2 has. We devote ourselves to the summary and discussion on our results
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