Rotating cylindrical wormholes: a no-go theorem

International Conference on Particle Physics and Astrophysics

Bronnikov, K.A.^1,2,3

Center for Gravitation and Fundam, Metrology, VNIIMS, Ozyornaya 46, Moscow

119361, Russia^1

Institute of Gravitation and Cosmology, PFUR, Miklukho-Maklaya 6, Moscow

117198, Russia^2

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe highway 31, Moscow

115409, Russia^3

关键词: Arbitrary potentials;    Einstein equations;    Energy condition;    Local object;    No-go theorem;    Scalar fields;    Thin shells;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/675/1/012028/pdf
DOI  :  10.1088/1742-6596/675/1/012028

来源: IOP

【 摘 要 】

The existing solutions to the Einstein equations describing rotating cylindrical wormholes are not asymptotically flat and therefore cannot describe wormhole entrances as local objects in our Universe. To overcome this difficulty, flat asymptotic regions are added to wormhole solutions by matching them at some surfaces ∑-and ∑+. It is shown, however, that if the wormhole solution is obtained for scalar fields with arbitrary potentials, possibly interacting with an azimuthal electric or magnetic field, then the matter content of one or both thin shells appearing on ∑-and ∑+violate the Null Energy Condition. Thus exotic matter is still necessary for obtaining a twice asymptotically flat wormhole.