Abstract
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.
Similar content being viewed by others
REFERENCES
L. Flamm, Phys. Z., 17, 48 (1916).
A. Einstein and N. Rosen, Phys. Rev., 48, 73 (1935).
J. A. Wheeler, Phys. Rev., 97, 511 (1955); Neutrinos, Gravitation, and Geometry, Princeton Univ. Press, Princeton, N. J. (1960).
M. S. Morris and K. S. Thorne, Am. J. Phys., 56, 395 (1988); M. S. Morris, K. S. Thorne, and U. Yurtsever, Phys. Rev. Lett., 61, 1446 (1988).
M. Visser, Lorentzian Wormholes: from Einstein to Hawking, AIP Press, New York (1995).
S. V. Sushkov, Phys. Lett. A, 164, 33 (1992); D. Hochberg, A. Popov, and S. V. Sushkov, Phys. Rev. Lett., 78, 2050 (1997).
N. R. Khusnutdinov and S. V. Sushkov, Phys. Rev. D, 65, 084028 (2002).
S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space–Time, Cambridge Univ. Press, Cambridge (1973).
S. V. Sushkov, Gravit. Cosmol., 7, 194 (2001).
J. S. Dowker and R. Critchley, Phys. Rev. D, 13, 3224 (1976); S. W. Hawking, Comm. Math. Phys., 55, 133 (1977); S. K. Blau, M. Visser, and A. Wipf, Nucl. Phys. B, 310, 163 (1988).
E. Elizalde, S. D. Odintsov, A. Romeo, A. A. Bytsenko, and S. Zerbini, Zeta Regularization Techniques with Applications, World Scientific, Singapore (1994).
M. Bordag, J. Phys. A, 28, 755 (1995); M. Bordag and K. Kirsten, Phys. Rev. D, 53, 5753 (1996); M. Bordag, K. Kirsten, and E. Elizalde, J. Math. Phys., 37, 895 (1996); M. Bordag, E. Elizalde, K. Kirsten, and S. Leseduarte, Phys. Rev. D, 56, 4896 (1997); M. Bordag, K. Kirsten, and D. Vassilevich, Phys. Rev. D, 59, 085011 (1999).
N. R. Khusnutdinov and M. Bordag, Phys. Rev. D, 59, 064017 (1999).
P. B. Gilkey, K. Kirsten, and D. V. Vassilevich, Nucl. Phys. B, 601, 125 (2001).
D. V. Fursaev, Phys. Lett. B, 334, 53 (1994).
E. R. Bezerra de Mello, V. B. Bezerra, and N. R. Khusnutdinov, J. Math. Phys., 42, 562 (2001).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Khusnutdinov, N.R. Semiclassical Wormholes with a Smooth Throat. Theoretical and Mathematical Physics 138, 250–268 (2004). https://doi.org/10.1023/B:TAMP.0000015072.58252.19
Issue Date:
DOI: https://doi.org/10.1023/B:TAMP.0000015072.58252.19