The cosmological model with a wormhole and Hawking temperature near apparent horizon

Abstract

In this paper, a cosmological model with an isotropic form of the Morris-Thorne type wormhole was derived in a similar way to the McVittie solution to the black hole in the expanding universe.By solving Einstein's field equation with plausible matter distribution, we found the exact solution of the wormhole embedded in Friedmann-Lemaître-Robertson-Walker universe. We also found the apparent cosmological horizons from the redefined metric and analyzed the geometric natures, including causal and dynamic structures. The Hawking temperature for thermal radiation was obtained by the WKB approximation using the Hamilton-Jacobi equation and Hamilton's equation, near the apparent cosmological horizon. *

Creation and annihilation of a wormhole in a matter—dark energy universe

“…To find the combined model of wormhole cosmology, we need the isotropic form of a wormhole [8]. By solving Einstein equation, we got the wormhole-cosmology as Using an appropriate coordinate transform, we got the Schwarzschild-like form with horizons given by The larger one is the cosmological horizon and smaller one can be considered as the trapping horizon for the wormhole throat.…”

“…All of them can be wormhole creation/annihilation by controlling the input of the phantom (ghost) matter. However, when we adopt the wormhole cosmological model [8], the throat is created, expands, and disappears at late time with the Hubble horizon in a matter-phantom-based universe background. Of course, the appropriate matter for wormhole construction is well prepared, and two horizons are created after the big bang and annihilated before big rip time.…”

Revisiting the evolving Lorentzian wormhole: a general perspective

“…Recently dynamic wormholes have been studied from the perspective of particle creation mechanism [32] and in f (R) gravity theory in [33]. Evolving wormhole solutions were obtained using the Mc Vittie solutions in [34]. Part of the work in the this article could be considered as generalization of the work done in [19].…”

Revisiting the Evolving Lorentzian Wormhole: a General Perspective

“…Recently dynamic wormholes have been studied from the perspective of particle creation mechanism [29] and in f (R) gravity theory in [30]. Evolving wormhole solutions were obtained using the Mc Vittie solutions in [31]. Part of the work in the this article could be considered as generalization of the work done in [18].…”