Einstein-Cartan wormhole solutions

Abstract

In the present work we investigate wormhole structures and the energy conditions supporting them, in Einstein-Cartan theory ({\sf ECT}). The matter content consists of a Weyssenhoff fluid along with an anisotropic matter which together generalize the anisotropic energy momentum tensor in general relativity ({\sf GR}) to include spin effects. Assuming that the radial pressure and energy density obey a linear equation of state, we introduce exact asymptotically flat and anti-de-Sitter spacetimes that admit traversable wormholes and respect energy conditions. Such wormhole solutions are studied in detail for two specific forms for the redshift function, namely a constant redshift function and the one with power law dependency.Comment: 16 pages, 2 figure

Spin, torsion and violation of null energy condition in traversable wormholes

“…This may implicitly suggest that Morris-Thorne wormholes never occur in reality. Interestingly, the above considerations do not apply in general to Einstein Cartan theory [10,11,12,13,14,15,12,16] where non exotic sources of wormholes are possible. In this paper we show how Einstein-Cartan theory allows one to disjoin the flaring out condition from the NEC violation.…”

Energy condition respecting warp drives: the role of spin in Einstein–Cartan theory

“…Second, the stress-energy tensor of a fluid is algebraically incompatible with the symmetries required for the warp drive metrics. Therefore, one cannot simply use a perfect fluid (or even an anisotropic fluid) stress-energy tensor on the right-hand side of (12). There must be some spinless auxiliary structure to the matter in order to bring the algebraic class of the right-hand side to compatibility with the left-hand side.…”

“…where "aux" represents the residual algebraic structure (non fluid structure) of the left-hand side of the equation (12). That is, the net stress-energy content is that of the spin fluid plus any auxiliary matter required for algebraic compatibility.…”

Dynamic wormhole solutions in Einstein-Cartan gravity

“…The solutions describe different asymptotic behavior and symmetric properties and a minimum value for the throat radius has been obtained subject to satisfaction of NEC and WEC. Work along this line has been also performed in [45] where wormhole structures and the energy conditions supporting them have been studied in the framework of ECT. Introducing the supporting material for wormhole geometry as a Weyssenhoff spinning fluid along with an anisotropic energy momentum tensor (EMT) for matter fields, exact asymptotically flat and anti-de-Sitter spacetimes were obtained which admit traversable wormholes and respect energy conditions.…”