The Cosmological Model with a Wormhole: I. Exact Solution

Sung-Won Kim

Published 2018-01-24Version 1

As McVittie found the solution of a black hole in the expanding universe, we derive likewise the cosmological model with a isotropic form of the Morris-Thorne type wormhole. By solving Einstein's field equation with plausible matter distribution, we found the exact solution of a wormhole in expanding Friedmann-Lema\^{\i}tre-Robertson-Walker universe. We also found the apparent cosmological horizons from the redefined metric and analyzed its geometric natures including causal and dynamic structures. Near the apparent cosmological horizon, we obtain the Hawking temperature for thermal radiation by WKB approximation using Hamilton-Jacobi equation and Hamilton's equation.