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Null geodesics of normal and phantom Einstein-Maxwell-dilaton black holes are determined analytically by the Weierstrass elliptic functions.
E.T. Whittaker and G.N. Watson, A Course of Modern Analysis , Chap. XX, Cambridge University Press, Cambridge 4 th Ed. (1927), [ http://archive.org/details/ACourseOfModernAnalysis ]
1927
Earlier work this paper cites.
Y. Hagihara, Theory of relativistic trajectories in a gravitational field of Schwarzschild , Japan. J. Astron. Geophys. 8
1931
Earlier work this paper cites.
K.W. Ford and J.A. Wheeler, Semiclassical description of scattering , Ann. Phys. (N.Y.) 7
1982
Earlier work this paper cites.
L. Chetouani and G. Clément, Geometrical optics in the Ellis geometry , Gen. Relativ. Grav. 16
1984
Earlier work this paper cites.
Z.X. Wang and D.R. Guo, Special Functions , Chap.8 and pp. 526-527 of Chap. 9, World Scientific, Singapore (1989)
1989
Earlier work this paper cites.
M.J. Jaklitsch, C. Hellaby and D.R. Matravers, Particle motion in the spherically symmetric vacuum solution with positive cosmological constant , Gen. Relativ. Grav. 21
1989
Earlier work this paper cites.
D.V. Gal’tsov and E. Masar, Geodesics in spacetimes containing cosmic strings , Class. Quantum Grav. 6
1989
Earlier work this paper cites.
M. Azreg-Aïnou and G. Clément, The geodesics of the Kaluza-Klein wormhole soliton , Gen. Relativ. Grav. 22
1990
Earlier work this paper cites.
Z. Stuchlík and M. Calvani, Null geodesics in black hole metrics with non-zero cosmological constant , Gen. Relativ. Grav. 23
1991
Earlier work this paper cites.
K. Aït-Moussa and G. Clément, Geodesic motion and scattering in the field of a Kaluza-Klein dyon , J. Math. Phys. 32
1991
Earlier work this paper cites.
K.S. Virbhadra, D. Narasimba and S.M. Chitre, Role of the scalar field in gravitational lensing , Astron. Astrophys. 337
1998
Earlier work this paper cites.
K.S. Virbhadra, Naked singularities and Seifert’s conjecture , Phys. Rev. D 60
1999
Earlier work this paper cites.
1999
Earlier work this paper cites.
K.S. Virbhadra and G.F.R. Ellis, Schwarzschild black hole lensing , Phys. Rev. D 62
2000
Earlier work this paper cites.
V. Bozza, S. Capozziello, G. Iovane and G. Scarpetta, Strong field limit of black hole gravitational lensing , Gen. Relativ. Grav. 33
2001
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.
E.F. Eiroa, G.E. Romero, and D.F. Torres, Reissner-Nordström black hole lensing , Phys. Rev. D 66
2002
Cited alongside, same era.
V. Bozza, Gravitational lensing in the strong field limit , Phys. Rev. D 66
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.
S. M. Carroll, M. Hoffman and M. Trodden, Can the dark energy equation-of-state parameter w be less than -1? , Phys. Rev. D 68
E. Hackmann and C. Lämmerzahl, Complete analytic solution of the geodesic equation in Schwarzschild(Anti-)de Sitter spacetimes , Phys. Rev. Lett. 100
2008
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2008
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2009
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2003
Cited alongside, same era.
G.V. Kraniotis, Precise relativistic orbits in Kerr and Kerr(anti) de Sitter spacetimes , Class. Quantum Grav. 21
2004
Cited alongside, same era.
Z. Stuchlík and P. Slany, Equatorial circular orbits in the Kerr-de Sitter spacetimes , Phys. Rev. D 69
2004
Cited alongside, same era.
C.R. Keeton and A.O. Petters, Formalism for testing theories of gravity using lensing by compact objects: Static, spherically symmetric case , Phys. Rev. D 72
2005
Cited alongside, same era.
2007
Cited alongside, same era.
M.H. Holmes, Introduction to Numerical Methods in Differential Equations , Texts in Applied Mathematics, Vol. 52, Springer (2007)
2007
Cited alongside, same era.
E. Hackmann and C. Lämmerzahl, Geodesic equation in Schwarzschild-(anti-)de Sitter spacetimes: Analytical solutions and applications , Phys. Rev. D 78
2008
Cited alongside, same era.
2009
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K.S. Virbhadra, Relativistic images of Schwarzschild black hole lensing , Phys. Rev. D 79
2009
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2010
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2010
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