# Selected Papers, Volume 5

## Relativistic Astrophysics

- Contents

PART ONE

Relativistic Instabilities and Post-Newtonian Approximations

1. Dynamical Instability of Gaseous Masses Approaching the Schwarzschild Limit in General Relativity

*Physical Review Letters*12, no. 4 (January 1964): 114-116. Incorporates errata in

*Physical Review Letters*12, no. 5 (April 1964).

2. The Dynamical Instability of Gaseous Masses Approaching the Schwarzschild Limit in General Relativity

*The Astrophysical Journal*140, no. 2 (August 1964): 417-33

3. The Dynamical Instability of the White-Dwarf Configurations Approaching the Limiting Mass. With R. F. Tooper

*The Astrophysical Journal*139, no. 4 (May 1964): 1396-98

4. The Virial Theorem in General Relativity in the Post-Newtonian Approximation. With G. Contopoulos

*Proceedings of the National Academy of Sciences*49, no. 5 (May 1963): 608-13

5. On a Post-Galilean Transformation Appropriate to the Post Newtonian Theory of Einstein, Infeld and Hoffman. With G. Contopoulos

*Proceedings of the Royal Society*, A, 298 (April 1967): 123-41

6. The Post-Newtonian Equations of Hydrodynamics in General Relativity

*The Astrophysical Journal*142, no. 4 (November 1965): 1488-1512

7. Conservation Laws in General Relativity and in the Post Newtonian Approximations

*The Astrophysical Journal*158, no. 1 (October 1969): 45-54

8. The Second Post-Newtonian Equations of Hydrodynamics in General Relativity. With Yavuz Nutku

*The Astrophysical Journal*158, no. 1 (October 1969): 55-79

9. The 2-1/2 Post-Newtonian Equations of Hydrodynamics and Radiation Reaction in General Relativity. With F. Paul Esposito

*The Astrophysical Journal*160, no. 1 (April 1970): 153-79

10. Post-Newtonian Methods and Conservation Laws Relativity, ed. M. Carmeli, S. I. Fickler, and L. Witten

{Plenum Press, 1970),81-108

11. The Stability of Gaseous Masses for Radial and Non-Radial Oscillations in the Post-Newtonian Approximation of General Relativity

*The Astrophysical Journal*142, no. 4 (November 1965): 1519-40

12. On the Onset of Relativistic Instability in Highly Centrally Condensed Stars. With Norman R. Lebovitz

*Monthly Notices of the Royal Astronomical Society*207, no. 2 (March 1984): 13p-16p

13. Solutions of Two Problems in the Theory of Gravitational Radiation

*Physical Review Letters*24, no. 11 (March 1970): 611-15

14. The Effect of Gravitational Radiation on the Secular Stability of the Maclaurin Spheroid

*The Astrophysical Journal*161 , no. 2 (August 1970): 561-69

15. Proceedings at Meeting of the Royal Astronomical Society

*The Observatory*92, no. 989 (August 1972): 116-20

16. The Stability of Stellar Masses in General Relativity

*Proceedings of the First European Astronomical Meeting*, Athens,September 4-9, 1972, vol. 3 (Berlin: Springer-Verlag, 1974), 162-65

17. The Stability of Relativistic Systems

*Gravitational Radiation and Gravitational Collapse*, ed. C. DeWitt-Morette {D. Reidel, 1974),63-81

18. The Post-Newtonian Effects of General Relativity on the Equilibrium of Uniformly Rotating Bodies. I, The Maclaurin Spheroids and the Virial Theorem

*The Astrophysical Journal*142, no. 4 (November 1965): 1513-18

19. The Post-Newtonian Effects of General Relativity on the Equilibrium of Uniformly Rotating Bodies. II, The Deformed Figures of the Maclaurin Spheroids

*The Astrophysical Journal*147, no. 1 (January 1967): 334-52

20. The Post-Newtonian Effects of General Relativity on the Equilibrium of Uniformly Rotating Bodies. III, The Deformed Figures of the Jacobi Ellipsoids

*The Astrophysical Journal*148, no. 2 (May 1967): 621-44

21. The Post-Newtonian Effects of General Relativity on the Equilibrium of Uniformly Rotating Bodies. IV, The Roche Model

*The Astrophysical Journal*148, no. 2 (May 1967): 645-49

22. The Post-Newtonian Effects of General Relativity on the Equilibrium of Uniformly Rotating Bodies. V, The Deformed Figures of the Maclaurin Spheroids (Continued)

*The Astrophysical Journal*167, no. 3 (August 1971): 447-53

23. The Post-Newtonian Effects of General Relativity on the Equilibrium of Uniformly Rotating Bodies. VI, The Deformed Figures of the Jacobi Ellipsoids (Continued)

*The Astrophysical Journal*167, no. 3 (August 1971): 455-63

24. The Deformed Figures of the Dedekind Ellipsoids in the Post-Newtonian Approximation to General Relativity. With Donna D. Elbert

*The Astrophysical Journal*192, no. 3 (September 1974): 731-46.

Incorporates corrections and amplifications in

*The Astrophysical Journal*220, no. 1 (February 1978).

PART TWO

The Stability and the Equilibrium of Rotating Systems in General Relativity

25. Criterion for the Instability of a Uniformly Rotating Configuration in General Relativity. With John L. Friedman

*Physical Review Letters*26, no. 17 (April 1971): 1047-50

26. On the Stability of Axisymmetric Systems to Axisymmetric Perturbations in General Relativity. I, The Equations Governing Nonstationary, Stationary, and Perturbed Systems. With John L. Friedman

*The Astrophysical Journal*175, no. 2 (July 1972): 379-405

27. On the Stability of Axisymmetric Systems to Axisymmetric Perturbations in General Relativity. II, A Criterion for the Onset of Instability in Uniformly Rotating Configurations and the Frequency of the Fundamental Mode in Case of Slow Rotation. With John L. Friedman

*The Astrophysical ]ournaI*176, no. 3 (September 1972): 745-68

28. On the Stability of Axisymmetric Systems to Axisymmetric Perturbations in General Relativity. III, Vacuum Metrics and Carter's Theorem. With John L. Friedman

*The Astrophysical Journal*177, no. 3 (November 1972): 745-56

29. On the Stability of Axisymmetric Systems to Axisymmetric Perturbations in General Relativity. IV, Allowance for Gravitational Radiation in an Odd-Parity Mode. With John L. Friedman

*The Astrophysical Journal*181, no. 2 (April 1973): 481-95

30. On a Criterion for the Occurrence of a Dedekind-like Point of Bifurcation Along a Sequence of Axisymmetric Systems. I, Relativistic Theory of Uniformly Rotating Configurations. With John L. Friedman

*The Astrophysical Journal*185, no. 1 (October 1973): 1-18

31. On a Criterion for the Occurrence of a Dedekind-like Point of Bifurcation Along a Sequence of Axisymmetric Systems. II, Newtonian Theory for Differentially Rotating Configurations. With Norman R. Lebovitz

*The Astrophysical Journal*185, no. 1 (October 1973): 19-30

32. On a Criterion for the Onset of Dynamical Instability by a Nonaxisymmetric Mode of Oscillation Along a Sequence of Differentially Rotating Configurations

*The Astrophysical Journal*187, no. 1 (January 1974): 169-74

33. Virial Relations for Uniformly Rotating Fluid Masses in General Relativity

*The Astrophysical Journal*147, no. 1 (January 1967): 383-84

34. On the Slowly Rotating Homogeneous Masses in General Relativity. With John C. Miller

*Monthly Notices ofthe Royal Astronomical Society*167, no. 1 (April 1974): 63-79

PART THREE

Miscellaneous Papers in General Relativity

35. A Limiting Case of Relativistic Equilibrium

*General Relativity*(Papers in Honor of J. L. Synge), ed.

L. O'Raifeartaigh (Oxford: Clarendon Press, 1972), 185-99

36. The Geodesics in Godel's Universe. With James P. Wright

*Proceedings ofthe National Academy of Sciences*48, no. 3

(March 1961): 341-47

37. On the "Derivation" of Einstein's Field Equations

*American Journal of Physics*40, no. 2 (February 1972): 224-34

38. The General Theory of Relativity: The First Thirty Years

*Contemporary Physics*21, no. 5 (1980): 429-49

39. The Increasing Role of General Relativity in Astronomy (Halley Lecture for 1972)

*The Observatory*92, no. 990 (October 1972): 160-74

40. Einstein's General Theory of Relativity and Cosmology

*The Great Ideas Today*(Encyclopaedia Britannica, 1979),90-138

A Commentary on Dirac's Views on lithe Excellence of General Relativity"

*Festi-Val: Festschrift for Val Telegdi*, ed K. Winter (Amsterdam: North Holland, 1988),49-56

**Physical Sciences: **
Astronomy and Astrophysics |
Physics and Astronomy |
Theoretical Physics

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