Singularity: Raychaudhuri equation once again
نویسندگان
چکیده
منابع مشابه
Singularity: Raychaudhuri Equation once again
I first recount Raychaudhuri’s deep involvement with the singularity problem in general relativity. I then argue that precisely the same situation has arisen today in loop quantum cosmology as obtained when Raychaudhuri discovered his celebrated equation. We thus need a new analogue of the Raychaudhuri equation in quantum gravity. PACS numbers: 04.20.Jb, 04.2.Cv, 98.80 Dr 1 Singularity and AKR ...
متن کاملOn the Beltrami Equation, Once Again: 54 Years Later
We prove that the quasiregular mappings given by the (normalized) principal solution of the linear Beltrami equation (1) and the principal solution of the quasilinear Beltrami equation are inverse to each other. This basic fact is deduced from the Liouville theorem for generalized analytic functions. It essentially simplifies the known proofs of the “measurable Riemann mapping theorem” and its ...
متن کاملDerivation of the Raychaudhuri Equation
As a homage to A K Raychaudhuri, I derive in a straightforward way his famous equation and also indicate the problems he was last engaged in. PACS numbers: 04.20.Jb, 04.2.Cv, 98.80 Dr Let us consider a collection of bodies falling freely under their own gravity. They would all attract each other and would tend to converge. If they are expanding or contracting and their gravitational potential e...
متن کاملSchwarzschild and Synge Once Again
We complete the historical overview about the geometry of a Schwarzschild black hole at its horizon by emphasizing the contribution made by J. L. Synge in 1950 to its clarification. KEY: Schwarzschild solution; Synge; black hole; horizon
متن کاملMeasurement without Theory, Once Again
Bailey and Collins (2011) argue that Greenwood, Seshadri, and Vandenbroucke’s (2005) hypothesis that the baby boom was partly due to a burst of productivity in the household sector is not supported by evidence. This conclusion is based on regression results showing that appliance ownership is negatively correlated with fertility. They also argue that the Amish, who limit the use of modern techn...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pramana
سال: 2007
ISSN: 0304-4289,0973-7111
DOI: 10.1007/s12043-007-0108-3