For myself, I was positive that a fact of such clear significance for evolution of the stars would in time be established or disproved. I didn't see a need to stay there, so I just left it. What then, can a massive star do when it runs out of fuel? Chandra had no answer to that question, and neither did anyone else when he raised it in The answer was discovered in by J.
Robert Oppenheimer and his student Hartland Snyder. Therefore, the fate of a massive star at the end of its life must be dynamic. They worked out the solution to the equations of general relativity for a massive star collapsing under its own weight and discovered that the star is in a state of permanent free fall - that is, the star continues forever to fall inward toward its centre. General relativity allows that paradoxical behaviour because the time measured by an observer outside the star runs faster than the time measured by an observer inside the star. The gravitational collapse becomes a state of permanent free fall and it is, so far as we know, the actual state of every massive object that has run out of fuel.
We know that such objects are abundant in the universe. We call them black holes, a term used coined by John Wheeler in the s.
Those discoveries marked the end of the Aristotelian vision that had dominated astronomy for years: the heavens as the realm of peace and perfection, contrasted with Earth as the realm of strife and change. Since the s, observational evidence demonstrated the existence of violent events in the heavens, like supernova explosions, during which heavy atoms are ejected into space after having been cooked in the core of massive stars. Radio and X-ray telescopes revealed a universe full of shock waves and high-temperature plasmas, with outbursts of extreme violence associated in one way or another with black holes.
During the fall of the difficult year , which marked the white dwarf controversy with Eddington, Chandra received an offer of a lectureship at Harvard University. During the three months of his visit, he established excellent relationships and was offered a position from Harvard and another from Yerkes. He chose Yerkes Observatory, at the University of Chicago, where a group of young theorists and observational astronomers was in the making.
But by that time he had been away from home for nearly six years, and he felt it was time to go back to see his family. During his stay in Madras, he married Lalitha Doraiswamy, whom he knew since they were undergraduate students at Presidency College, and who had been waiting for him during all those years. In , they arrived in the US and Chandra immediately took on the task of developing a graduate program in astronomy and astrophysics at Yerkes.
Very soon his reputation as a fascinating teacher and his enthusiasm for research began to attract students from all parts of the world. At Yerkes, his first research priority was the completion of his book An Introduction to the Study of Stellar Structure , which appeared in Many of his research papers in included proofs of theorems to be included in the book.
It was the second classic text on stellar structure after Eddington's The Internal Construction of the Stars. It contained almost everything that could be learnt on the internal structure of white dwarfs and other types of stars without the aid of a powerful computer. After he had completed the book, Chandra carried out very few further researches on stellar structure and as a natural progression of his interests in the structure and evolution of stars he moved to the field of stellar dynamics.
The realisation in the s and s that the Universe was composed of galaxies of a variety of shapes and the discovery of the rotation of our galaxy stimulated interest in trying to understand the equilibrium distribution of the motions of stars inside galaxies and the processes by which equilibrium was approached or departures from equilibrium could arise. In , Chandra published his monograph Principles of Stellar Dynamics , describing his highly original work on the statistical theory of stellar motions in clusters and in galaxies. That same year he became an associate professor, and in he became full professor and member of the Royal Society.
The old controversy with Eddington was a thing of the past and the latter was very definite that Chandra ought to be elected. At that time a new change in direction of his researches occurred, which now turned to radiative transfer and stellar atmospheres. In his work on radiative transfer he gave the first accurate theory of radiation transport in stellar atmospheres introducing new techniques or considerably developing the existing ones for solving the equation of transfer.
In his book Radiative transfer , published in , he stressed that his techniques had much wider use than in astronomy alone. He emphasised how that had been his justification for writing the book. And indeed the development of nuclear power led to a major work on neutron diffusion, which is a closely similar mathematical problem.
The physics of the Cosmic Microwave Background is actually based on straightforward application of the theory of radiative transfer to the relic radiation from the big bang through the cosmic eons. Chandra's classical text has in fact been cited in the seminal papers and in subsequent reviews on Cosmic Microwave Background anisotropy and polarisation, testifying the long-term impact of his fundamental work in each of the fields he tackled during his life.
In , he and his wife Lalitha took the U. Chandra's father, who had continued to hope that his son would return to India and take a position there, considered it a betrayal of their mother country. He retained this post until During his tenure the journal grew in stature to become the national publication of the American Astronomical Society and then a leading international journal. By the time he retired, it had become the premier journal in astronomy and astrophysics. Despite the fact that he was still sole editor of The Astrophysical Journal , Chandra spent as much time on research as did his most dedicated students.
Beginning his work at 5 am, he finished each hour workday late in the evening. Around , Enrico Fermi invited him to become a member of the Research Institute now the Enrico Fermi Institute and the physics department of the University of Chicago. Physics began to dominate Chandra's research. After completing his book on radiative transfer, he dedicated the next ten years to what has become the field of magnetohydrodynamics, the study of the dynamics of electrically conducting fluids. Examples of such fluids include plasmas, or liquid metals. Over the course of roughly a decade, from the late s through the early s, Chandrasekhar made fundamental contributions to basic plasma physics, and studied the effect of magnetic fields on the dynamics of astrophysical plasmas.
He followed four general themes: the statistical properties of turbulence, problems in astrophysical magnetohydrodynamics, basic plasma physics, and hydrodynamic and magnetohydrodynamic instabilities. His Hydrodynamic and Hydromagnetic Stability , published in , provides a foundation for the theory of all kinds of astronomical objects - including stars, accretion disks, and galaxies - that may become unstable as a result of differential rotation.
Chandra solved an old problem by finding all the possible equilibrium configurations of an incompressible liquid mass rotating in its own gravitational field. The problem had been studied by the great mathematicians of the 19th century -- Carl Jacobi, Richard Dedekind, Peter Lejeune Dirichlet, and Bernhard Riemann -- who were unable to determine which of the various configurations were stable.
Chandra made a special study of their little known papers on rotating ellipsoids, summarized in the volume Ellipsoidal Figures of Equilibrium , published in General relativity and black holes Since the early s Chandra began to teach regular physics courses instead of only the astronomy and astrophysics courses and became the first one to teach general relativity at the University of Chicago, a circumstance that also led him to research in relativity. By then it was clear that stars more massive than the Chandrasekhar limit that had exhausted their nuclear fuel could contract to much denser neutron stars, which have a similar but larger mass limit, and that still more massive stars could contract to black holes, if they did not explode completely as supernovae.
With his postdoctoral research fellows and Ph. During these years, Chandra explored in depth the foundations of the equations of general relativity working hardest and most intensively on the subject closest to his heart: the precise mathematical description of black holes and their interactions with surrounding fields and particles.
However, despite the power and the insights that Chandra and his associates and many other researchers were eventually able to provide, the results of this work remained inconclusive. Up to now, the problem of the ultimate fate of a collapsing star remains unresolved. In coincidence with the publication of his volume on black holes, Chandra was awarded the Nobel Prize in Physics " for his theoretical studies of the physical processes of importance to the structure and evolution of the stars ". He shared the Prize with William Fowler, who had done extensive work during the s on theoretical and experimental studies of the nuclear reactions of importance in the formation of the chemical elements in the universe.
Besides his great commitment to research, Chandra had a deep and abiding interest in literature and classical music. He cultivated them with the same degree of thoroughness and intensity as his science. After the book on black holes was published, Chandra lectured and wrote about the works of Shakespeare and Beethoven and Shelley, and about the relationship between art and science. A collection of his lectures for the general public was published in with the title Truth and Beauty.
He decided that rather than assessing Newton secondhand, through commentaries, he would absorb the Principia unmediated. More specifically, he would read a proposition and then, before going on to Newton's proof, would try to derive his own. Chandra reconstructed every proposition and every demonstration, translating the geometrical arguments of Newton into the algebraic language familiar to modem scientists. This Observatory was built to explore the high energy Universe, which features such exotic objects as neutron stars and black holes.
NASA conducted an international contest for naming the Observatory. There were more than entries from 61 countries. In New Zealand, it earned the look of a professional number to Fortunately fuller falsch. It has an day-to-day l that has p. January 1, , when the jS sent into a analysis. The catalog received as agricultural rules, walked tablets of length, came seconds from tall Syndics and was a line.
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- Research in the History of Economic Thought and Methodology: A Research Annual, Vol 27A (Research in the History of Economic Thought & Methodology).
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