On Static Charged Black Holes in Type IIA on a Nearly-Kahler Coset

Physics – High Energy Physics – High Energy Physics - Theory

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13 pages

Scientific paper

We study static, spherically symmetric black hole solutions in four-dimensional N=2 gauged supergravity with one vector multiplet and one hyper-tensor multiplet. This is derived from massive type IIA theory compactified on the nearly-Kahler coset space G2/SU(3). It is well-known that the Romans' mass parameter yields the Stuckelberg-type deformation of the gauge field strengths in the four-dimensional system. This deformation requires that all the (covariant) derivatives of the scalar fields must vanish and the two-form field is closed. It turns out that charged solutions are forbidden. This implies that only AdS vacua or Schwarzschild-AdS black holes are allowed as the static, spherically symmetric solutions.

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