Published June 15, 2001 | Version v1
Journal article

Bertotti-Robinson-type solutions to dilaton-axion gravity

Description

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)timesU(1) where U(1) is the remnant of the SO(3) symmetry of BR broken by rotation, while SL(2,R) corresponds to the AdS2 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

Additional details

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
63
Journal Issue
12
Journal Page Range
p. 124011-124011.12
ISSN
0556-2821

Optional Information

Notes
Othernumber: PRVDAQ000063000012124011000001; 014112PRD
Funding organization
United States (United States)