Selected Papers, Volume 6
The Mathematical Theory of Black Holes and of Colliding Plane Waves
760 pages

62 line drawings, 6 tables, frontispiece

© 1991
This is the first of six volumes collecting significant papers of the distinguished astrophysicist and Nobel laureate S. Chandrasekhar. His work is notable for its breadth as well as for its brilliance; his practice has been to change his focus from time to time to pursue new areas of research. The result has been a prolific career full of discoveries and insights, some of which are only now being fully appreciated.
Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area.
Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area.
Contents
Foreword by Basilis C. Xanthopoulos
Author's Note
Part One  The Mathematical Theory of Black Holes
1. The Schwartzschild Black Hole
1. On the Equations Governing the Perturbations of the Schwartzschild Black Hole
Proceedings of the Royal Society, A, 343 (1975): 28998
2. The QuasiNormal Modes of the Schwartzschild Black Hole. With S. Detweiler
Proceedings of the Royal Society, A, 344 (1975): 44152
3. On the Potential Barriers Surrounding the Schwartzschild Black Hole
Pp. 12046 in Spacetime and Geometry: The Alfred Schild Lectures, ed. R. A. Matzner and L. C. Shepley. Austin: University of Texas Press, 1982
2. The Kerr Black Hole
4. The Kerr Metric and Stationary Axisymmetric Gravitational Fields
Proceedings of the Royal Society, A, 358, (1978): 40520
5. On the Equations Governing the Axisymmetric Perturbations of the Kerr Black Hole. With S. Detweiler
Proceedings of the Royal Society, A, 345 (1975): 14567
6. On a Transformation of Teukolsky's Equation and the Electromagnetic Perturbations of the Kerr Black Hole
Proceedings of the Royal Society, A, 348 (1976): 3955
7. The Solution of Maxwell's Equations in Kerr Geometry
Proceedings of the Royal Society, A, 349 (1976): 18
8. The Solution of Dirac's Equation in Kerr Geometry
Proceedings of the Royal Society, A, 349 (1976): 57175
9. On the Reflexion and Transmission of Neutrino Waves by a Kerr Black Hole. With S. Detweiler.
Proceedings of the Royal Society, A, 352 (1977): 32538
10. The Gravitational Perturbation of the Kerr Black Hole.
I. The Perturbations in the Quantities which Vanish in the Stationary State
Proceedings of the Royal Society, A, 358 (1978): 42139
11. The Gravitational Perturbations of the Kerr Black Hole.
II. The Perturbations in the Quantities which are Finite in the Stationary State
Proceedings of the Royal Society, A, 358 (1978): 44165
12. The Gravitational Perturbations of the Kerr Black Hole.
III. Further Amplifications
Proceedings of the Royal Society, A, 365 (1979): 42551
13. The Gravitational Perturbations of the Kerr Black Hole.
IV. The completion of the solution
Proceedings of the Royal Society, A, 372 (1980): 47584
3. The ReissnerNordström Black Hole
14. On the Equations Governing the Perturbations of the ReissnerNordström Black Hole
Proceedings of the Royal Society, A, 365 (1979): 45365
15. On the Metric Perturbations of the ReissnerNordström Black Hole. With B. C. Xanthpoulos
Proceedings of the Royal Society, A, 367 (1979): 114
16. On OneDimensional Potential Barriers Having Equal Reflexion and Transmission Coefficients
Proceedings of the Royal Society, A, 369 (1980): 42533
17. On Crossing the Cauchy Horizon of a ReissnerNordström Black Hole. With J. B. Hartle
Proceedings of the Royal Society, A, 384 (1982): 30115
18. On Algebraically Special Perturbations of Black Holes
Proceedings of the Royal Society, A, 392 (1984): 113
Part Two  The Mathematical Theory of Colliding Waves
19. On the NutkuHalil Solution for Colliding Impulsive Gravitational Waves. With V. Ferrari
Proceedings of the Royal Society, A, 396 (1984): 5574
20. On Colliding Waves in the EinsteinMaxwell Theory.
With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 398 (1985): 22359
21. On the Collision of Impulsive Gravitational Waves when Coupled with Fluid Motions. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 402 (1985): 3765
22. On the Collision of Impulsive Gravitational Waves when Coupled with Null Dust. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 403 (1986): 18998
23. A New Type of Singularity Created by Colliding Gravitational Waves. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 408 (1986): 175208
24. On Colliding Waves that Develop Timelike Singularities: A New Class of Solutions of the EinsteinMaxwell Equations. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 410 (1987): 31136
25. The Effect of Sources on Horizons that May Develop when Plane Gravitational Waves Collid. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 414 (1987): 130
26. A Perturbation Analysis of the BellSzekeres SpaceTime. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 420 (1988): 93123
27. On Weyl's Solution for SpaceTimes with Two Commuting Killing Fields
Proceedings of the Royal Society, A, 415 (1988): 32945
28. Some Exact Solutions of Gravitational Waves Coupled with Fluid Motions. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 402 (1985): 20524
Part Three  Cylindrical Waves
29. Cylindrical Waves in General Relativity
Proceedings of the Royal Society, A, 408 (1986): 20932
30. On the Dispersion of Cylindrical Impulsive Gravitational Waves. With V. Ferrari
Proceedings of the Royal Society, A, 412 (1987): 7591
Part Four  The TwoCenter Problem
31. The TwoCentre Problem in General Relativity: The Scattering of Radiation by Two Extreme ReissnerNordström BlackHoles
Proceedings of the Royal Society, A, 421 (1989): 22758
32. A OnetoOne Correspondence between the Static EinsteinMaxwell and Stationary EinsteinVacuum SpaceTimes
Proceedings of the Royal Society, A, 423 (1989): 37986
33. Two Black Holes Attached to Strings. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 423 (1989): 387400
Part Five  Additional Papers
34. The Flux Integral For Axisymmetric Perturbations of Static SpaceTimes. With V. Ferrari
Proceedings of the Royal Society, A, 428 (1990): 32549
35. The TeukolskyStarobinsky Constant for Arbitrary Spin
Proceedings of the Royal Society, A, 430 (1990): 43338
36. On Stars, Their Evolution and Their Stability. Nobel lecture, 8 December 1983
37. How One May Explore the Physical Content of the General Theory of Relativity
Proceedings of the Yale Symposium in Honor of the 150th anniversary of the birth of J. Willard Gibbs, May 1719, 1989. The American Mathematical Society and the American Physical Society (1990): 22751
Publications by S. Chandrasekhar
Corrigenda
Author's Note
Part One  The Mathematical Theory of Black Holes
1. The Schwartzschild Black Hole
1. On the Equations Governing the Perturbations of the Schwartzschild Black Hole
Proceedings of the Royal Society, A, 343 (1975): 28998
2. The QuasiNormal Modes of the Schwartzschild Black Hole. With S. Detweiler
Proceedings of the Royal Society, A, 344 (1975): 44152
3. On the Potential Barriers Surrounding the Schwartzschild Black Hole
Pp. 12046 in Spacetime and Geometry: The Alfred Schild Lectures, ed. R. A. Matzner and L. C. Shepley. Austin: University of Texas Press, 1982
2. The Kerr Black Hole
4. The Kerr Metric and Stationary Axisymmetric Gravitational Fields
Proceedings of the Royal Society, A, 358, (1978): 40520
5. On the Equations Governing the Axisymmetric Perturbations of the Kerr Black Hole. With S. Detweiler
Proceedings of the Royal Society, A, 345 (1975): 14567
6. On a Transformation of Teukolsky's Equation and the Electromagnetic Perturbations of the Kerr Black Hole
Proceedings of the Royal Society, A, 348 (1976): 3955
7. The Solution of Maxwell's Equations in Kerr Geometry
Proceedings of the Royal Society, A, 349 (1976): 18
8. The Solution of Dirac's Equation in Kerr Geometry
Proceedings of the Royal Society, A, 349 (1976): 57175
9. On the Reflexion and Transmission of Neutrino Waves by a Kerr Black Hole. With S. Detweiler.
Proceedings of the Royal Society, A, 352 (1977): 32538
10. The Gravitational Perturbation of the Kerr Black Hole.
I. The Perturbations in the Quantities which Vanish in the Stationary State
Proceedings of the Royal Society, A, 358 (1978): 42139
11. The Gravitational Perturbations of the Kerr Black Hole.
II. The Perturbations in the Quantities which are Finite in the Stationary State
Proceedings of the Royal Society, A, 358 (1978): 44165
12. The Gravitational Perturbations of the Kerr Black Hole.
III. Further Amplifications
Proceedings of the Royal Society, A, 365 (1979): 42551
13. The Gravitational Perturbations of the Kerr Black Hole.
IV. The completion of the solution
Proceedings of the Royal Society, A, 372 (1980): 47584
3. The ReissnerNordström Black Hole
14. On the Equations Governing the Perturbations of the ReissnerNordström Black Hole
Proceedings of the Royal Society, A, 365 (1979): 45365
15. On the Metric Perturbations of the ReissnerNordström Black Hole. With B. C. Xanthpoulos
Proceedings of the Royal Society, A, 367 (1979): 114
16. On OneDimensional Potential Barriers Having Equal Reflexion and Transmission Coefficients
Proceedings of the Royal Society, A, 369 (1980): 42533
17. On Crossing the Cauchy Horizon of a ReissnerNordström Black Hole. With J. B. Hartle
Proceedings of the Royal Society, A, 384 (1982): 30115
18. On Algebraically Special Perturbations of Black Holes
Proceedings of the Royal Society, A, 392 (1984): 113
Part Two  The Mathematical Theory of Colliding Waves
19. On the NutkuHalil Solution for Colliding Impulsive Gravitational Waves. With V. Ferrari
Proceedings of the Royal Society, A, 396 (1984): 5574
20. On Colliding Waves in the EinsteinMaxwell Theory.
With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 398 (1985): 22359
21. On the Collision of Impulsive Gravitational Waves when Coupled with Fluid Motions. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 402 (1985): 3765
22. On the Collision of Impulsive Gravitational Waves when Coupled with Null Dust. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 403 (1986): 18998
23. A New Type of Singularity Created by Colliding Gravitational Waves. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 408 (1986): 175208
24. On Colliding Waves that Develop Timelike Singularities: A New Class of Solutions of the EinsteinMaxwell Equations. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 410 (1987): 31136
25. The Effect of Sources on Horizons that May Develop when Plane Gravitational Waves Collid. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 414 (1987): 130
26. A Perturbation Analysis of the BellSzekeres SpaceTime. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 420 (1988): 93123
27. On Weyl's Solution for SpaceTimes with Two Commuting Killing Fields
Proceedings of the Royal Society, A, 415 (1988): 32945
28. Some Exact Solutions of Gravitational Waves Coupled with Fluid Motions. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 402 (1985): 20524
Part Three  Cylindrical Waves
29. Cylindrical Waves in General Relativity
Proceedings of the Royal Society, A, 408 (1986): 20932
30. On the Dispersion of Cylindrical Impulsive Gravitational Waves. With V. Ferrari
Proceedings of the Royal Society, A, 412 (1987): 7591
Part Four  The TwoCenter Problem
31. The TwoCentre Problem in General Relativity: The Scattering of Radiation by Two Extreme ReissnerNordström BlackHoles
Proceedings of the Royal Society, A, 421 (1989): 22758
32. A OnetoOne Correspondence between the Static EinsteinMaxwell and Stationary EinsteinVacuum SpaceTimes
Proceedings of the Royal Society, A, 423 (1989): 37986
33. Two Black Holes Attached to Strings. With B. C. Xanthopoulos
Proceedings of the Royal Society, A, 423 (1989): 387400
Part Five  Additional Papers
34. The Flux Integral For Axisymmetric Perturbations of Static SpaceTimes. With V. Ferrari
Proceedings of the Royal Society, A, 428 (1990): 32549
35. The TeukolskyStarobinsky Constant for Arbitrary Spin
Proceedings of the Royal Society, A, 430 (1990): 43338
36. On Stars, Their Evolution and Their Stability. Nobel lecture, 8 December 1983
37. How One May Explore the Physical Content of the General Theory of Relativity
Proceedings of the Yale Symposium in Honor of the 150th anniversary of the birth of J. Willard Gibbs, May 1719, 1989. The American Mathematical Society and the American Physical Society (1990): 22751
Publications by S. Chandrasekhar
Corrigenda
For more information, or to order this book, please visit http://www.press.uchicago.edu
Google preview here
Physical Sciences: Astronomy and Astrophysics  Physics and Astronomy  Theoretical Physics
You may purchase this title at these fine bookstores. Outside the USA, see our international sales information.