Generalized Milne Space, Eternal Accelerating Cosmology, Ep-branes and dS/CFT Correspondence

The Milne universe is an open Robertson-Walker universe with scale factor being equal to the cosmic time, which is therefore a locally flat spacetime. By analytically continuing the Schwarzschild spacetime, we obtain a generalized Milne space, in which the black hole horizon in the Schwarzschild spacetime turns to be a de Sitter-like horizon in the generalized Milne space. We present a solution of the form of the generalized Milne space in type II supergravity with RR field. Beyond the horizon, the worldvolume becomes spacelike. Therefore the solution could be regarded as a new S-brane solution. In the case of p = 3, making a dimensional reduction on a hyperbolic compact space and a spacelike direction on the worldvolume for the S-brane solution we obtain a flat and eternal accelerating cosmology. Further analytically continuing the generalized Milne solution to the one with imaginary RR charge in type II supergravity (the solution can also be understood as a generalized Milne space with real RR charge in type II* supergravity), we obtain “nonextremal” Ep-brane solutions. The associated thermodynamics of cosmological horizon turns out to be completely dual to that of black hole horizon for the nonextremal Dp-brane solution. e-mail address: [email protected];rong-gen [email protected] e-mail address: anzhong [email protected]