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Four-dimensional Traversable Wormholes and Bouncing Cosmologies in Vacuum

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Anabalon,  Andres
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Anabalon, A., & Oliva, J. (2019). Four-dimensional Traversable Wormholes and Bouncing Cosmologies in Vacuum. Journal of High Energy Physics, 2019(4): 106. doi:10.1007/JHEP04(2019)106.


Cite as: http://hdl.handle.net/21.11116/0000-0003-8101-9
Abstract
In this letter we point out the existence of solutions to General Relativity with a negative cosmological constant in four dimensions, which contain solitons as well as traversable wormholes. The latter connect two asymptotically locally AdS$_{4}$ spacetimes. At every constant value of the radial coordinate the spacetime is a spacelike warped AdS$_{3}$. We compute the dual energy momentum tensor at each boundary showing that it yields different results. We also show that these vacuum wormholes can have more than one throat and that they are indeed traversable by computing the time it takes for a light signal to go from one boundary to the other, as seen by a geodesic observer. We generalize the wormholes to include rotation and charge. When the cosmological constant is positive we find a cosmology that is everywhere regular, has either one or two bounces and that for late and early times matches the Friedmann-Lema\^{\i}tre-Robertson-Walker metric with spherical topology.