2009/01/31 by Zhao-Long Wang, Jianwei Mei, H. Lü +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Mathematical physics #Nonlinear Waves and Solitons #Physics #Theoretical physics #Wormhole #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/26/8/085020
published as Class.Quant.Grav.26:085020,2009 · Latex 3 times, 32 pages, typos corrected, to appear in Classical and Quantum Gravity
arxiv created 2009/03/29 · openalex publication_date 2009/04/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct the most general Ricci-flat metrics in (D+n) dimensions that preserve the R1,n-1× SO(D) isometry. The equations of motion are governed by the system of a GL(n,\R)/SO(1,n-1) scalar coset coupled to D-dimensional gravity. Among the solutions, we find a large class of smooth Lorentzian wormholes that connect two asymptotic flat spacetimes. In addition, we obtain new vacuum tachyonic wave solutions in D≥ 4 dimensions, which fit the general definition of pp-waves in that there exists a covariantly constant null vector. The momenta of the tachyon waves are larger than their ADM masses. The world-volume of the tachyon wave is R1,2, instead of R1,1 for the usual vacuum pp-wave. We show that the tachyon wave solutions admit no Killing spinors, except in D=4, in which case it preserves half of the supersymmetry. We also obtain a general class of p-brane wormhole and tachyon wave solutions where the R1,n-1 part of the spacetime lies in the the world-volume of the p-branes. These include examples of M-branes and D3-brane. Furthermore, we obtain AdS tachyon waves in D≥ 4 dimensions.