Abstract
We present a new wormhole solution connecting two points of the same universe separated by finite distance. Virtually all the existing solutions connect two disconnected universes, or two points of the same universe that are infinitely far away. We construct our solution by placing two black holes at the antipodes of the closed de Sitter space with a matter shell between them. The gravitational action of the matter shell and cosmological constant counteracts attractive gravity between the black holes and makes the whole configuration static. The whole space outside the wormhole mouths is causally connected, even though the wormhole is not traversable. The stress energy tensor corresponds to de Sitter vacuum everywhere outside of the black holes except at the equator where we match the black hole spacetimes, where a shell with positive energy density appears. We discuss the physical relevance of this solution in various contexts, including the cosmological constant problem.
Highlights
The study of wormholes has a long and distinguished history
In the 1980s two parallel developments stressed the role of wormholes in fundamental physics: In the first development, Baum [4], Hawking [5] and Coleman [6] focused on the role of topology change in Euclidean quantum gravity, and they speculated that this process is crucial for the possible fix of fundamental constants in nature, and in particular, the cosmological constant
We have presented here a new wormhole solution connecting two causally connected points of the same universe separated by finite distance
Summary
The study of wormholes has a long and distinguished history. The original wormhole solution was discovered by Einstein and Rosen (ER) in 1935 [1]. In the 1950s and 1960s Wheeler [2] and collaborators emphasized the importance of wormholes (and topology change) in quantum gravity, as insightfully reviewed in [3]. In the 1980s two parallel developments stressed the role of wormholes in fundamental physics: In the first development, Baum [4], Hawking [5] and Coleman [6] focused on the role of topology change in Euclidean quantum gravity (see [7] for a review), and they speculated that this process is crucial for the possible fix of fundamental constants in nature, and in particular, the cosmological constant. Around the same time Thorne and collaborators realized that it was possible to construct “traversable” wormhole solutions [8,9].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
