Traversable wormhole in Einstein 3-form theory with self-interacting potential

Abstract

We numerically construct a symmetric wormhole solution in pure Einstein gravity supported by a massive 3-form field with a potential that contains a quartic self-interaction term. The wormhole spacetimes have only a single throat and they are everywhere regular and asymptotically flat. Furthermore, their mass and throat circumference increase almost linearly as the coefficient of the quartic self-interaction term Λ increases. The amount of violation of the null energy condition (NEC) is proportional to the magnitude of 3-form, thus the NEC is less violated as Λ increases, since the magnitude of 3-form decreases with Λ. In addition, we investigate the geodesics of particles moving around the wormhole. The unstable photon orbit is located at the throat. We also find that the wormhole can cast a shadow whose apparent size is smaller than that cast by the Schwarzschild black hole, but reduces to it when Λ acquires a large value. The behavior of the innermost stable circular orbit around this wormhole is also discussed. The results of this paper hint toward the possibility that the 3-form wormholes could be potential black hole mimickers, as long as Λ is sufficiently large, precisely when NEC is weakly violated.

Traversable wormholes with static spherical symmetry and their stability in higher-curvature gravity

“…Transitions from black holes to wormholes within scalar-tensor Horndeski theory [61], wormhole geometries in f (Q) gravity [62], and wormhole solutions examined through the Poynting-Robertson effect in extended gravity [63] have further advanced our comprehension. The stationary generalizations for the Bronnikov-Ellis wormhole and the vacuum ring wormhole [65], as well as traversable wormholes within Einstein 3-form theory [66], have all added to the mosaic of wormhole research, significantly contributing to our understanding of these enigmatic structures. In this paper, we delve into the intriguing realm of higher-order Gauss-Bonnet gravity theory, exploring its profound implications for the fabric of spacetime.…”

Gravitating Scalarons with Inverted Higgs Potential

“…We acknowledge useful discussions with Hyat Huang, Jiajun Chen, and Yingying Yan. Note that the Higgs-like potential has been considered for constructing a class of traversable wormholes in the Einstein-3-Form theory, where the corresponding kinetic term still can possess a proper sign [47], and where another class of static and rotating traversable wormholes are supported by the complex phantom field [48,49].…”

Some unusual wormholes in general relativity

“…The latter statement evidently contradicts the topological censorship theorems, therefore it seems more correct to say that the spinor fields in these models acquire exotic properties and violate the NEC [50]. A static, spherically symmetric wormhole in GR, supported by a three-form field with a correct sign of kinetic energy, was described in [51]; the necessary NEC violation is provided in this model by a suitable quartic potential.…”