Publications and Errata

by Frederick J. Ernst

© 2005 Frederick J. Ernst

Introduction

Over the course of many years I have rarely published errata, not because I was unaware of the errors, but rather because I had learned, by mastering Roy Kerr's famous Phys. Rev. Letter, that nothing builds up a student's confidence more quickly than to discover by oneself errors that crept into an important publication.

Perhaps now, after thirty-seven years, I can safely reveal a whole host of typographical errors, sign errors, potentially misleading statements and even a few really significant oversights. Over time, I shall analyze each of my published papers, and reveal here the result of each of those analyses.

Journals

  1. New Formulation of the Axially Symmetric Gravitational Field Problem. I: Phys. Rev. 167, 1175 (1968)
  2. New Formulation of the Axially Symmetric Gravitational Field Problem. II: Phys. Rev. 168, 1415 (1968)
  3. Exterior algebraic derivation of Einstein field equations employing a generalized basis: J. Math. Phys. 12, 2395 (1971).
  4. Charged version of the Tomimatsu-Sato spinning mass field: Phys. Rev. D7, 2520 (1973).
  5. Complex potential formulation of the axially symmetric gravitational field problem: J. Math. Phys. 15, 1409 (1974)
  6. Weyl conform tensor for stationary gravitational fields: Economou and Ernst, J. Math. Phys. 15, 2027 (1974)
  7. Weyl conform tensor of delta=2 Tomimatsu-Sato spinning mass gravitational field: J. Math. Phys. 17, 52 (1976)
  8. Black holes in a magnetic universe: Ernst and Wild, J. Math. Phys. 17, 54 (1976).
  9. Kerr black holes in a magnetic universe: J. Math. Phys. 17, 182 (1976)
  10. Removal of the nodal singularity of the C-metric: J. Math. Phys. 17, 515 (1976).
  11. New representation of the Tomimatsu-Sato solution: J. Math. Phys. 17, 1091 (1976).
  12. A new family of solutions of the Einstein field equations: J. Math. Phys. 18, 233 (1977)
  13. Killing Structures and Complex E-Potentials: Ernst and Plebanski, Annals of Phys. 107, 266 (1977)
  14. Coping with different languages in the null tetrad formulation of general relativity: J. Math. Phys. 19, 489 (1978)
  15. On the generation of new solutions of the Einstein-Maxwell field equations from electrovac spacetimes with isometries: Hauser and Ernst, J. Math. Phys. 19, 1316 (1978)
  16. Field equations and integrability conditions for special type N twisting gravitational fields: Ernst and Hauser, J. Math. Phys. 19, 1816 (1978).
  17. Generalized C-metric: J. Math. Phys. 19, 1986 (1978)
  18. SU(2,1) generation of electrovacs from Minkowski space: Hauser and Ernst, J. Math. Phys. 20, 1041 (1979).
  19. Integral equation method for effecting Kinnersley-Chitre transformations. I: Hauser and Ernst, Phys. Rev. D20, 362 (1979)
  20. Integral equation method for effecting Kinnersley-Chitre transformations. II: Hauser and Ernst, Phys. Rev. D20, 1783 (1979).
  21. A homogeneous Hilbert Problem for the Kinnersley-Chitre transformations: Hauser and Ernst, J. Math. Phys. 21, 1126 (1980)
  22. A homogeneous Hilbert Problem for the Kinnersley-Chitre transformations of electrovac spacetimes: Hauser and Ernst, J. Math. Phys. 21, 1418 (1980).
  23. Proof of a Geroch Conjecture: Hauser and Ernst, J. Math. Phys. 22, 1051 (1981).
  24. Electrovac generalization of Neugebauer's N = 2 solution of the Einstein vacuum field equations: Guo and Ernst, J. Math. Phys. 23, 1359 (1982).
  25. Charged spinning mass field involving rational functions: Chen, Guo and Ernst, J. Math. Phys. 24, 1564 (1983).
  26. Remarks on the Tomimatsu-Sato metrics: Hoenselaers and Ernst, J. Math. Phys. 24, 1817 (1983).
  27. Colliding gravitational plane waves with noncollinear polarization. I: Ernst, Garcia and Hauser, J. Math. Phys. 28, 2155 (1987).
  28. Colliding gravitational plane waves with noncollinear polarization. II: Ernst, Garcia and Hauser, J. Math. Phys. 28, 2951 (1987).
  29. Colliding gravitational plane waves with noncollinear polarization. III: Ernst, Garcia and Hauser, J. Math. Phys. 29, 681 (1988).
  30. A family of electrovac colliding wave solutions of Einstein's equations: Li and Ernst, J. Math. Phys. 30, 678 (1989).
  31. Initial value problem for colliding gravitational plane waves. I: Hauser and Ernst, J. Math. Phys. 30, 872 (1989)
  32. Initial value problem for colliding gravitational plane waves. II: Hauser and Ernst, J. Math. Phys. 30, 2322 (1989).
  33. Matching pp-waves to the Kerr metric: Hoenselaers and Ernst, J. Math. Phys. 31, 144 (1990).
  34. Initial value problem for colliding gravitational plane waves. III: Hauser and Ernst, J. Math. Phys. 31, 871 (1990).
  35. Initial value problem for colliding gravitational plane waves. IV: Hauser and Ernst, J. Math. Phys. 32, 198 (1991).
  36. Colliding gravitational plane waves with noncollinear polarizations: Li, Hauser and Ernst, J. Math. Phys. 32, 723 (1991).
  37. Colliding gravitational plane waves with Killing-Cauchy horizons: Li, Hauser and Ernst, J. Math. Phys. 32, 1025 (1991).
  38. Colliding wave solutions of the Einstein-Maxwell field equations: Li, Hauser and Ernst, J. Math. Phys. 32, 1030 (1991).
  39. Nonimpulsive colliding gravitational waves with noncollinear polarizations: Li, Hauser and Ernst, J. Math. Phys. 32, 2478 (1991).
  40. Gürses' type (b) transformations are neighborhood isometries: Hauser and Ernst, Phys. Rev. Lett. 71, 316 (1993).
  41. On Gürses' symmetries of the Einstein equations: Ernst and Hauser J. Math. Phys. 34, 5352 (1993).
  42. Determining parameters of the Neugebauer family of vacuum spacetimes in terms of data specified on the symmetry axis: Phys. Rev. D50, 4993 (1994).
  43. Fully electrified Neugebauer spacetimes: Phys. Rev. D50, 6179 (1994).
  44. Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation: Hauser and Ernst, Gen. Rel. and Grav. 33, 195 (2001).
  45. The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution: Hauser and Ernst, Gen. Rel. and Grav. 33, xxx (2001).

Books

  1. The Role of Group Theory in the Quest for Exact Solutions of Einstein's Field Equations--Some Recent Developments: Lecture Notes in Physics, vol. 94, pp. 372-378 (1979).
  2. The Continuing Quest for Exact Solutions of Einstein's Field Equations--New Goals for the Eighties: Lecture Notes in Physics, vol. 135, pp. 410-412 (1980).
  3. Complete Integrability of Stationary Axially Symmetric Field Equations: Mathematics of the Physical Space Time, pp. 1-10 (1981).
  4. The homogeneous Hilbert problem, the Geroch conjecture, and a new nine-parameter solution of the Einstein-Maxwell equations: Lecture Notes in Physics, vol. 189, pp. 128-136 (1983).
  5. Applications of the Riemann-Hilbert problem in General Relativity: Proc. 3rd Marcel Grossmann Meeting, pp. 21-28 (1983).
  6. The Homogeneous Hilbert Problem: Practical Application: Lecture Notes in Physics, vol. 205, pp. 176-185 (1984).
  7. Proof of a Generalized Geroch Conjecture: Hauser and Ernst, Galaxies, axisymmetric systems and relativity, pp. 115-125 (1985).
  8. Derivation of Nutku-Halil Colliding Plane Wave Solution from Isotropic Kasner Metric Using Double-Harrison Transformation: Gravitational Collapse and Relativity, pp. 141-149 (1986).
  9. A New Proof of an Old Conjecture: Hauser and Ernst, Gravitation & Geometry, pp. 165-214 (1987)
  10. Colliding Gravitational Waves: Relativity Today, pp. 47-53 (1988).
  11. Closing Remarks: Relativity Today, pp. ix-x (1988).
  12. New Generalized Symmetries of the Einstein Equations: Aspects of General Relativity and Mathematical Physics, pp. 19-29 (1993).
  13. Thirty Years of Complex Potentials: Black Holes and High Energy Astrophysics, pp. 477-490 (1998).