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For various reasons a number of authors have mooted an "exponential form" for the spacetime metric: \[ ds^2 = - e^{-2m/r} dt^2 + e^{+2m/r}\{dr^2 + r^2(d\theta^2+\sin^2\theta \, d\phi^2)\}.
P. Boonserm, C. Cattöen, T. Faber, M. Visser and S. Weinfurtner, “Effective refractive index tensor for weak field gravity”, Class. Quant. Grav. 22
1905
Earlier work this paper cites.
Huseyin Yilmaz, “New approach to general relativity”, Physical Review, 111 #5
1958
Earlier work this paper cites.
Hüseyin Yilmaz, “New yheory of gravitation”, Physical Review Letters, 27 #20
1971
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Hüseyin Yilmaz, “New approach to relativity and gravitation”, Ann. Phys. (USA), 81
1973
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Roger E. Clapp, “Preliminary quasar model based on the Yilmaz exponential metric”, Physical Review D, 7 #2
1973
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Peter Rastall, “Gravity without geometry”, American Journal of Physics 43
1975
Earlier work this paper cites.
M. S. Morris and K. S. Thorne, “Wormholes in space-time and their use for interstellar travel: A tool for teaching general relativity”, Am. J. Phys. 56
1988
Earlier work this paper cites.
M. S. Morris, K. S. Thorne and U. Yurtsever, “Wormholes, Time Machines, and the Weak Energy Condition”, Phys. Rev. Lett. 61
1988
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M. Visser, “Traversable wormholes: Some simple examples”, Phys. Rev. D 39
1989
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1989
Earlier work this paper cites.
Biplab Bhawal and Sayan Kar, “Lorentzian wormholes in Einstein-Gauss-Bonnet theory”, Phys. Rev. D 46
1992
Earlier work this paper cites.
M. Visser, Lorentzian wormholes: From Einstein to Hawking , (AIP Press, now Springer, New York, 1995)
1995
Earlier work this paper cites.
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford and G. A. Landis, “Natural wormholes as gravitational lenses”, Phys. Rev. D 51
1995
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E. Poisson and M. Visser, “Thin shell wormholes: Linearization stability”, Phys. Rev. D 52
1995
Earlier work this paper cites.
Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; and Knuth, D. E., “On the Lambert W W function”, Advances in Computational Mathematics 5
1996
Earlier work this paper cites.
D. Hochberg and M. Visser, “Geometric structure of the generic static traversable wormhole throat”, Phys. Rev. D 56
1997
Earlier work this paper cites.
M. Visser and D. Hochberg, “Generic wormhole throats”, Annals of the Israeli Physics Society 13
1997
Earlier work this paper cites.
D. Hochberg and M. Visser, “Dynamic wormholes, anti-trapped surfaces, and energy conditions”, Phys. Rev. D 58
1998
Earlier work this paper cites.
D. Hochberg and M. Visser, “The Null energy condition in dynamic wormholes”, Phys. Rev. Lett. 81
1998
Earlier work this paper cites.
K. S. Virbhadra, D. Narasimha and S. M. Chitre, “Role of the scalar field in gravitational lensing”, Astron. Astrophys. 337
1998
Cited alongside, same era.
C. W. Misner, “Yilmaz cancels Newton”, Nuovo Cim. B 114
1999
Cited alongside, same era.
Stanley L. Robertson, “X-Ray novae, event horizons, and the exponential metric”, The Astrophysical Journal 515 # 1
1999
Cited alongside, same era.
S. L. Robertson, “Bigger bursts from merging neutron stars”, Astrophys. J. 517
1999
Cited alongside, same era.
C. Barceló and M. Visser, “Traversable wormholes from massless conformally coupled scalar fields”, Phys. Lett. B 466
1999
Cited alongside, same era.
C. Barceló and M. Visser, “Scalar fields, energy conditions, and traversable wormholes”, Class. Quant. Grav. 17
N. Ben-Amots, “Relativistic exponential gravitation and exponential potential of electric charge”, Found. Phys. 37
2007
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2008
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2008
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S. R. Valluri, M. Gil, D. J. Jeffrey, and Shantanu Basu, “The Lambert W W function and quantum statistics”, Journal of Mathematical Physics 50
2009
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K. S. Virbhadra, “Relativistic images of Schwarzschild black hole lensing”, Phys. Rev. D 79
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2000
Cited alongside, same era.
S. R. Valluri, D. J. Jeffrey, R. M. Corless, “Some Applications of the Lambert W W Function to Physics”, Canadian Journal of Physics 78
2000
Cited alongside, same era.
K. S. Virbhadra and G. F. R. Ellis, “Schwarzschild black hole lensing”, Phys. Rev. D 62
2000
Cited alongside, same era.
C. M. Claudel, K. S. Virbhadra and G. F. R. Ellis, “The Geometry of photon surfaces”, J. Math. Phys. 42
2001
Cited alongside, same era.
N. Dadhich, S. Kar, S. Mukherji and M. Visser, “ R = 0 R=0 space-times and self-dual Lorentzian wormholes”, Phys. Rev. D 65
2002
Cited alongside, same era.
K. S. Virbhadra and G. F. R. Ellis, “Gravitational lensing by naked singularities”, Phys. Rev. D 65
2002
Cited alongside, same era.
M. Visser, S. Kar and N. Dadhich, “Traversable wormholes with arbitrarily small energy condition violations”, Phys. Rev. Lett. 90
2003
Cited alongside, same era.
2009
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N. Ben-Amots, “Some features and implications of exponential gravitation”, J. Phys. Conf. Ser. 330
2011
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Raul E. Arias, Marcelo Botta Cantcheff, and Guillermo A. Silva, “Lorentzian AdS, wormholes and holography”, Phys. Rev. D 83
2011
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Seán M Stewart, “Wien peaks and the Lambert W W function”, Revista Brasileira de Ensino de Física 33
2011
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Alexandre Vial, “Fall with linear drag and Wien’s displacement law: approximate solution and Lambert function”, European Journal of Physics, 33
2012
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Seán M. Stewart, “Spectral peaks and Wien’s displacement law”, Journal of Thermophysics and Heat Transfer, 26
2012
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2013
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M. Visser, “Survey of analogue spacetimes”, Lect. Notes Phys. 870
2013
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M. E. Aldama, “The gravity apple tree”, J. Phys. Conf. Ser. 600
2015
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2016
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2017
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2017
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Matt Visser, “Primes and the Lambert W W function”, Mathematics 6(4)
2018
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2018
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