signed first edition
1965 · Lancaster, PA & New York, NY
by Penrose, Roger
Lancaster, PA & New York, NY: Published for The American Physical Society by the American Institute of Physics, 1965. First Edition. Very Good. Signed by Penrose on p. 215 at the beginning of his article, "A Remarkable Property of Plane Waves in General Relativity," dated 20 September 2016. [ii], 230 pp. Original orange wraps. Volume 37, Number 1. January 1965. Very Good with repair to head, a little wear to back cover, corners bumped, internally clean and bright. An early technical article by the distinguished physicist, scarce signed. In 1964 Penrose "revolutionized the mathematical tools that we use to analyze the properties of spacetime," in the words of Kip Thorne. In this article, according to its abstract, "The complete general-relativistic plane-wave spacetimes (gravitational, electromagnetic, or both) are examined in relation to the focusing effect they exert on null cones. The following remarkable effect is then obtained. No spacelike hypersurface exists in the space-time which is adequate for the global specification of Cauchy data.As a consequence, it is not possible to imbed a plane wave globally in any hyperbolic normal psuedo-Euclidean space.
(Inventory #: 140939405)