Ernst denklemi

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Ernst denklemi, matematik'te doğrusal-olmayan bir kısmi diferansiyel denklem'dir. Adı Ünlü fizikçi Frederick J. Ernst tarafından bulunmuş olduğundan, "Ernst denklemi" olarak adlandırılmıştır. Ernst denklemi Sağ tarafında Birinci dereceden kısmî türevler içeren ve doğrusal olmayan terimleri olan bir denklemdir. Çözümü aranan u karmaşık fonksiyonunun gerçel kısmı R(u), denklemin sol tarafındaki İkinci dereceden kısmî türevlerin çarpımı halinde belirdiğinden, denklemin her iki tarafı da doğrusal-olmayan (non-linear) terimler ihtivâ etmektedir. Denklem aşağıdaki şekilde verilmektedir: Kullanım amacı Einstein alan denklemlerinin noksansız çözümlerini elde etmek için kullanılan doğrusal olmayan bir kısmi türevsel denklemdir. Bibliyografya İlgili yayınlar mecmuasında 1971: Frederick J. Ernst, Exterior-Algebraic Derivation of Einstein Field Equations Employing a Generalized Basis 1974: Frederick J. Ernst, Complex potential formulation of the axially symmetric gravitational field problem 1974: Frederick J. Ernst, Weyl conform tensor for stationary gravitational fields 1975: Frederick J. Ernst, Black holes in a magnetic universe 1975: Frederick J. Ernst, Erratum: Complex potential formulation of the axially symmetric gravitational field problem 1975: John E. Economou & Frederick J. Ernst, Weyl conform tensor of =2 Tomimatsu–Sato spinning mass gravitational field 1976: Frederick J. Ernst & Walter J. Wild, Kerr black holes in a magnetic universe 1976: Frederick J. Ernst, New representation of the Tomimatsu–Sato solution 1976: Frederick J. Ernst, Removal of the nodal singularity of the C-metric 1977: Frederick J. Ernst, A new family of solutions of the Einstein field equations 1978: Frederick J. Ernst, Coping with different languages in the null tetrad formulation of general relativity 1978: Frederick J. Ernst & I. Hauser, Field equations and integrability conditions for special type N twisting gravitational fields 1978: Frederick J. Ernst, Generalized C-metric 1978: Isidore Hauser & Frederick J. Ernst, On the generation of new solutions of the Einstein–Maxwell field equations 1979: I. Hauser & Frederick J. Ernst, SU(2,1) generation of electrovacs from Minkowski space 1979: (Erratum) Coping with different languages in the null tetrad formulation of general relativity 1979: (Erratum) Generalized C metric 1980: Isidore Hauser & Frederick J. Ernst, A homogeneous Hilbert problem for the Kinnersley–Chitre transformations of electrovac space-times 1980: Isidore Hauser & Frederick J. Ernst, A homogeneous Hilbert problem for the Kinnersley–Chitre transformations 1981: Isidore Hauser & Frederick J. Ernst, Proof of a Geroch conjecture 1982: Dong-sheng Guo & Frederick J. Ernst, Electrovac generalization of Neugebauer's N = 2 solution of the Einstein vacuum field equations 1983: Y. Chen, Dong-sheng Guo & Frederick J. Ernst, Charged spinning mass field involving rational functions 1983: Cornelius Hoenselares & Frederick J. Ernst, Remarks on the Tomimatsu–Sato metrics 1987: Frederick J. Ernst, Alberto Garcia D & Isidore Hauser, Colliding gravitational plane waves with noncollinear polarization. I 1987: Frederick J. Ernst, Alberto Garcia D & Isidore Hauser, Colliding gravitational plane waves with noncollinear polarization. II 1988: Frederick J. Ernst, Alberto Garcia D & Isidore Hauser, Colliding gravitational plane waves with noncollinear polarization. III 1989: Wei Li & Frederick J. Ernst, A family of electrovac colliding wave solutions of Einstein's equations 1989: Isidore Hauser & Frederick J. Ernst, Initial value problem for colliding gravitational plane waves. I 1989: Isidore Hauser & Frederick J. Ernst, Initial value problem for colliding gravitational plane waves. II 1990: Isidore Hauser & Frederick J. Ernst, Initial value problem for colliding gravitational plane waves. III 1990: Cornelius Hoenselares & Frederick J. Ernst, Matching pp waves to the Kerr metric 1991: Wei Li, Isidore Hauser & Frederick J. Ernst, Colliding gravitational plane waves with noncollinear polarizations 1991: Wei Li, Isidore Hauser & Frederick J. Ernst, Colliding gravitational waves with Killing–Cauchy horizons 1991: Wei Li, Isidore Hauser & Frederick J. Ernst, Colliding wave solutions of the Einstein–Maxwell field equations 1991: Isidore Hauser & Frederick J. Ernst, Initial value problem for colliding gravitational plane waves. IV 1991: Wei Li, Isidore Hauser & Frederick J. Ernst, Nonimpulsive colliding gravitational waves with noncollinear polarizations 1993: Frederick J. Ernst & Isidore Hauser, On Gürses's symmetries of the Einstein equations Kaynakça Kategori:Genel görelilik Kategori:Kısmi diferansiyel denklemler