Geodesic
Semiclassical Wormholes with a~Smooth Throat
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 297-318

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We propose a procedure for calculating heat kernel coefficients and use it to derive the expression for any heat kernel coefficient $B_i$ for an arbitrary profile of the throat. We give an explicit form of these coefficients up to $B_3$. We study domains of possible existence of wormholes for different values of the throat length-to-radius ratio and a nonminimal coupling constant.
Keywords: zero point energy, zeta function, wormholes, quantum field theory in curved space–time. 
@article{TMF_2004_138_2_a7,
     author = {N. R. Khusnutdinov},
     title = {Semiclassical {Wormholes} with {a~Smooth} {Throat}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {297--318},
     publisher = {mathdoc},
     volume = {138},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_2_a7/}
}
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N. R. Khusnutdinov. Semiclassical Wormholes with a~Smooth Throat. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 297-318. http://geodesic.mathdoc.fr/item/TMF_2004_138_2_a7/