Mathematical general relativity: A sampler
نویسندگان
چکیده
منابع مشابه
Mathematical General Relativity: a Sampler
We provide an introduction to selected significant advances in the mathematical understanding of Einstein’s theory of gravitation which have taken place in recent years.
متن کاملSome Remarks on Mathematical General Relativity Theory
This paper gives a brief survey of the development of general relativity theory starting from Newtonian theory and Euclidean geometry and proceeding through to special relativity and finally to general relativity and relativistic cosmology.
متن کاملThe Mathematical Foundations of General Relativity Revisited
In 1880 S. Lie (1842-1899) studied the groups of transformations depending on a finite number of parameters and now called Lie groups of transformations. Ten years later he discovered that these groups are only examples of groups of transformations solutions of linear or nonlinear systems of ordinary differential (OD) or partial differential (PD) equations which may even be of high order and ar...
متن کاملRecent Mathematical Developments in Quantum General Relativity
After a brief chronological sketch of developments in non-perturbative canonical quantum gravity, some of the recent mathematical results are reviewed. These include: i) an explicit construction of the quantum counterpart of Wheeler’s superspace; ii) a rigorous procedure leading to the general solution of the diffeomorphism constraint in quantum geometrodynamics as well as connection dynamics; ...
متن کاملIntroduction to Mathematical General Relativity — lectures given by Rick Schoen
This series of lecture notes were taken for the topic class on mathematical General Relativity given by Professor Rick Schoen in the spring quarter of 2012 at Tsinghua University. These lectures start from basic introduction of General Relativity, and then move on to several fundamental mathematical subjects in this field. Particularly, the notes cover the conformal method of solving the vacuum...
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: Bulletin of the American Mathematical Society
سال: 2010
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-2010-01304-5