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Volumn 30, Issue 4, 1999, Pages 331-342

Riemann-Hilbert problems for the Ernst equation and fibre bundles

Author keywords

Ernst equation; Fibre bundles; Riemann hilbert problems

Indexed keywords


EID: 0033164251     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(98)00067-9     Document Type: Article
Times cited : (1)

References (19)
  • 1
    • 36049055512 scopus 로고
    • New formulation of the axially symmetric gravitational field problem
    • F.J. Ernst, New formulation of the axially symmetric gravitational field problem, Phys. Rev. 167 (1968) 1175.
    • (1968) Phys. Rev. , vol.167 , pp. 1175
    • Ernst, F.J.1
  • 2
    • 0000450273 scopus 로고
    • New formulation of the axially symmetric gravitational field problem
    • F.J. Ernst, New formulation of the axially symmetric gravitational field problem. II, Phys. Rev. 168 (1968) 1415.
    • (1968) II, Phys. Rev. , vol.168 , pp. 1415
    • Ernst, F.J.1
  • 3
    • 33646022362 scopus 로고
    • Are the stationary, axially symmetric Einstein equations completely integrable?
    • D. Maison, Are the stationary, axially symmetric Einstein equations completely integrable?, Phys. Rev. Lett. 41 (1978) 521.
    • (1978) Phys. Rev. Lett. , vol.41 , pp. 521
    • Maison, D.1
  • 4
    • 0000900531 scopus 로고
    • Integration of the Einstein equations by the methods of inverse scattering theory and construction of explicit multisoliton solutions
    • V.A. Belinski, V.E. Zakharov, Integration of the Einstein equations by the methods of inverse scattering theory and construction of explicit multisoliton solutions, Sov. Phys.-Jetp 48 (1978) 985.
    • (1978) Sov. Phys.-JETP , vol.48 , pp. 985
    • Belinski, V.A.1    Zakharov, V.E.2
  • 5
    • 34748888410 scopus 로고
    • Bäcklund transformations of axially symmetric stationary gravitational fields
    • G. Neugebauer, Bäcklund transformations of axially symmetric stationary gravitational fields, J. Phys. A 12 (L67) (1979).
    • (1979) J. Phys. A , vol.12 , Issue.L67
    • Neugebauer, G.1
  • 6
    • 0000491295 scopus 로고    scopus 로고
    • Explicit solution of Riemann-Hilbert problems for the Ernst equation
    • C. Klein, O. Richter, Explicit solution of Riemann-Hilbert problems for the Ernst equation, Phys. Rev. D57 (1998) 857.
    • (1998) Phys. Rev. , vol.D57 , pp. 857
    • Klein, C.1    Richter, O.2
  • 7
    • 0001971086 scopus 로고    scopus 로고
    • On a class of physically realistic solutions to the Ernst equation
    • C. Klein, O. Richter, On a class of physically realistic solutions to the Ernst equation, Phys. Rev. Lett. 79 (1997) 565.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 565
    • Klein, C.1    Richter, O.2
  • 8
    • 0031539361 scopus 로고    scopus 로고
    • The Ernst equation and the Riemann-Hilbert problem on hyperelliptic Riemann surfaces
    • C. Klein, O. Richter, The Ernst equation and the Riemann-Hilbert problem on hyperelliptic Riemann surfaces, J. Geom. Phys. 24 (1997) 53.
    • (1997) J. Geom. Phys. , vol.24 , pp. 53
    • Klein, C.1    Richter, O.2
  • 9
    • 0000221432 scopus 로고    scopus 로고
    • Physically realistic solutions to the Ernst equation on hyperelliptic Riemann surfaces
    • C. Klein, O. Richter, Physically realistic solutions to the Ernst equation on hyperelliptic Riemann surfaces, Phys. Rev. D (1998) 124018.
    • (1998) Phys. Rev. D , pp. 124018
    • Klein, C.1    Richter, O.2
  • 10
    • 0009122593 scopus 로고
    • Über das riemann-privalovsche randwertproblem
    • H. Röhrl, Über das riemann-privalovsche randwertproblem, Math. Ann. 151 (1963) 365.
    • (1963) Math. Ann. , vol.151 , pp. 365
    • Röhrl, H.1
  • 11
    • 0000638506 scopus 로고
    • Analytische faserungen über holomorph vollständigen räumen
    • H. Grauert, Analytische faserungen über holomorph vollständigen räumen, Math. Ann. 135 (1958) 263.
    • (1958) Math. Ann. , vol.135 , pp. 263
    • Grauert, H.1
  • 14
    • 0010000533 scopus 로고
    • Finite-gap solutions of the stationary axisymmetric Einstein equations in vacuum
    • D.A. Korotkin, Finite-gap solutions of the stationary axisymmetric Einstein equations in vacuum. Theor. Math. Phys. 77 (1989) 1018.
    • (1989) Theor. Math. Phys. , vol.77 , pp. 1018
    • Korotkin, D.A.1
  • 15
    • 77954811498 scopus 로고
    • Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces
    • S.I. Zverovich, Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces, Russ. Math. Surv. (Uspekhi), 26 (1971) 117.
    • (1971) Russ. Math. Surv. (Uspekhi) , vol.26 , pp. 117
    • Zverovich, S.I.1
  • 19
    • 0003358349 scopus 로고
    • Tata lectures on theta II
    • Birkhäuser, Boston
    • D. Mumford, Tata lectures on theta II, Progress in Mathematics, Vol. 43, Birkhäuser, Boston, 1993.
    • (1993) Progress in Mathematics , vol.43
    • Mumford, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.