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Extremal Limits of Rotating Black Holes | | Laura Andrianopoli
; Riccardo D'Auria
; Antonio Gallerati
; Mario Trigiante
; | | Date: |
7 Mar 2013 | | Abstract: | We consider non-extremal, stationary, axion-dilaton solutions to ungauged
symmetric supergravity models, obtained by Harrison transformations of the
non-extremal Kerr solution. We define a general algebraic procedure, which can
be viewed as an Inonu-Wigner contraction of the Noether charge matrix
associated with the effective D=3 sigma-model description of the solution,
yielding, through different singular limits, the known BPS and non-BPS extremal
black holes (which include the under-rotating non-BPS one). The non-extremal
black hole can thus be thought of as "interpolating" among these
limit-solutions. The algebraic procedure that we define generalizes the known
Rasheed-Larsen limit which yielded, in the Kaluza-Klein theory, the first
instance of under-rotating extremal solution. As an example of our general
result, we discuss in detail the non-extremal solution in the T^3-model, with
either (q_0, p^1) or (p^0, q_1) charges switched on, and its singular limits.
Such solutions, computed in D=3 through the solution-generating technique, is
completely described in terms of D=4 fields, which include the fully integrated
vector fields. | | Source: | arXiv, 1303.1756 | | Services: | Forum | Review | PDF | Favorites | |
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