AKR_a Review of His Work | General Relativity | Physical CosmologyIt seems that you're in Germany. We have a dedicated site for Germany. Authors: Raychaudhuri , A. For about half a century the general theory of relativity attracted little attention from physicists. However, the discovery of compact objects such as quasars and pulsars, as well as candidates for black holes on the one hand, and the microwave background radiation on the other hand completely changed the picture.
We apologize for the inconvenience...
Weak Field Approximation Static Case. Principle of relativity Galilean relativity Galilean transformation Special relativity Doubly special relativity. If not, continued expansion is possible. Home About Help Search.
Your request to send this item has been completed. Thermal history of the universe--cosmological nucleosynthesis -- ch. Einstein's Field Equations. Skickas inom vardagar.
In general relativity , the Raychaudhuri equation , or Landau—Raychaudhuri equation ,  is a fundamental result describing the motion of nearby bits of matter. The equation is important as a fundamental lemma for the Penrose-Hawking singularity theorems and for the study of exact solutions in general relativity , but has independent interest, since it offers a simple and general validation of our intuitive expectation that gravitation should be a universal attractive force between any two bits of mass-energy in general relativity, as it is in Newton's theory of gravitation. Also, dot denotes differentiation with respect to proper time counted along the world lines in the congruence. The expansion scalar measures the fractional rate at which the volume of a small ball of matter changes with respect to time as measured by a central comoving observer and so it may take negative values. In other words, the above equation gives us the evolution equation for the expansion of the timelike congruence. If the derivative with respect to proper time of this quantity turns out to be negative along some world line after a certain event , then any expansion of a small ball of matter whose center of mass follows the world line in question must be followed by recollapse.
Please verify that you are not a robot. Electromagnetism in General Relativity. WorldCat is the world's largest library catalog, pursued. Having neither the time nor the inclination to delve deeply into the technical literature, helping you find library materials online. These eorts were closely related to the long-standing interest in cosmology which Otto Heckma.
Table of contents. Please choose whether or not you want other users to be able to see on your profile that this library is a favorite of yours. Finding libraries that hold this item You may have already requested this item. Please select Ok if you would like to proceed with this request anyway. WorldCat is the world's largest library catalog, helping you find library materials online. Don't have an account?