Abstract
In generalizing the Maxwell field to nonlinear electrodynamics, we look for the magnetic solutions. We consider a suitable real metric with a lower bound on the radial coordinate and investigate the properties of the solutions. We find that in order to have a finite electromagnetic field near the lower bound, we should replace the Born-Infeld theory with another nonlinear electrodynamics theory. Also, we use the cut-and-paste method to construct wormhole structure. We generalize the static solutions to rotating spacetime and obtain conserved quantities.
Highlights
A wormhole can be defined as a tunnel which can joint two universes [1]
Unlike the classical form of matter [2], it is believed that the exotic matter violates the wellknown energy conditions such as the null energy conditions (NEC), weak energy conditions (WEC), strong energy conditions (SEC) and dominant energy conditions (DEC)
We should note that these energy conditions are violated by certain states of quantum fields, amongst which we may refer to the Casimir energy, Hawking evaporation, and vacuum polarization [3]
Summary
A wormhole can be defined as a tunnel which can joint two universes [1]. Since General Relativity does not preclude the existence of (traversable) wormholes, a large number of papers have been written which clarify, support, or contradict much of the research about wormholes. Wormhole solutions of higher derivative gravity with linear and nonlinear. From mathematical point of view, since Maxwell equations originated from the empirical nature, we can consider a general nonlinear theory of electrodynamics and state that the Maxwell fields, are only approximations of nonlinear electrodynamics, which the approximation breaks down for the small distances. Generalizations of Maxwell theory to nonlinear electrodynamics were introduced to eliminate infinite quantities in theoretical analysis of the electrodynamics [11]. We take into account new classes of nonlinear electrodynamics, such as Born-Infeld (BI) like [13] and power-Maxwell invariant (PMI) [12] nonlinear electrodynamics, in order to obtain new analytical solutions in Einstein and higher derivative gravity. In this paper we look for the analytical magnetic horizonless solutions of Einstein gravity with nonlinear Maxwell source.
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 call
