Bertotti-Robinson-type solutions to dilaton-axion gravity
Journal Article
·
· Physical Review D
We present a new solution to dilaton-axion gravity which looks like a rotating Bertotti-Robinson (BR) universe. It is supported by an homogeneous Maxwell field and a linear axion and can be obtained as a near-horizon limit of extremal rotating dilaton-axion black holes. It has the isometry SL(2,R){times}U(1) where U(1) is the remnant of the SO(3) symmetry of BR broken by rotation, while SL(2,R) corresponds to the AdS{sub 2} sector which no longer factors out of the full spacetime. Alternatively our solution can be obtained from the <D=5 vacuum counterpart to the dyonic BR universe with equal electric and magnetic field strengths. The derivation amounts to smearing it in D=6 and then reducing to D=4 with dualization of one Kaluza-Klein two-form in D=5 to produce an axion. Using a similar dualization procedure, the rotating BR solution is uplifted to D=11 supergravity. We show that it breaks all supersymmetries of N=4 supergravity in D=4, and that its higher dimensional embeddings are not supersymmetric either. But, hopefully it may provide a new arena for conformal mechanics and holography. Applying a complex coordinate transformation we also derive a BR solution endowed with a NUT parameter.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40203115
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Journal Issue: 12 Vol. 63; ISSN 0556-2821
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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