Traversable wormhole solution with a background Kalb–Ramond field

Exact solution for a traversable wormhole in a curvature-coupled antisymmetric background field

“…In particular, the t-coefficient can only be expressed in terms of the field B µν when contracted with the Riemann curvature tensor from the ξ 1 coupling [32]. Second, the phenomenological role of the t-coefficient is an intriguing issue still little explored in the literature since previous investigations involving solutions of black holes [12] and wormholes [16] did not take into account this type of coupling present in (1). Hence, our main focus of this letter is to determine the existence of a wormhole solution modified by the ξ 1 coupling, responsible for producing a nonzero vacuum value for…”

“…In this context, it is of deep interest to explore the consequences of Lorentz violation in the gravitational scenario involving compact objects like black holes [11][12][13][14] and topologically non-trivial structures as wormholes [15,16] as well as in cosmology [17][18][19] . These objects originally were found as solutions for the field equations of general relativity, unraveling unexpected connections between two remote regions of the spacetime [20][21][22].…”

“…Still concerning such objects, a class of modified theories as those embodying background fields coupled to the gravity, with spontaneously Lorentz symmetry breaking, were analyzed in Refs. [15,16]. Thus, in this letter, we will study a traversable wormhole immersed in an antisymmetric 2-tensor background field coupled to gravity and sourced by a matter fluid in a scenario of spontaneously Lorentz symmetry breaking [32].…”

“…Thus, in this letter, we will study a traversable wormhole immersed in an antisymmetric 2-tensor background field coupled to gravity and sourced by a matter fluid in a scenario of spontaneously Lorentz symmetry breaking [32]. Differently from that was employed recently in [16], we will use another coupling to the antisymmetric field with the curvature, which plays the role of a pseudo-electric one. We will show that the matter fluid can be ideal; however, it must be anisotropic.…”

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

“…A static spherically symmetric wormhole solution due to the vacuum expectation value of a Kalb-Ramond field is obtained by Lessa et al in [17]. Javed et al have analyzed the weak gravitational lensing of the Einsteinnonlinear-Maxwell-Yukawa black hole in their work [18] in vacuum and in the presence of plasma.…”