General relativityImportant Equations. Example Problems Problem 1 Klingon spacecraft has a speed of 0. The Klingons measure What value for the time interval would they measure if their ship had a speed of 0. Solutions Problem 2 a A spaceship travels toward the Earth at a speed of 0.
The topic of this course is the classical relativistic theory of gravity, General Relativity. This is a geometric theory: the key idea is that gravity is a manifestation of the curvature of space-time. We will then discuss the field equations of general relativity, and explore the physical properties of interesting simple solutions, describing black holes, cosmology, and gravitational waves. Suggestions for the web page are also welcome. There are many good books, a selection of which are listed below. There are also many texts available on-line see below ; you may find it useful to look at relevant chapters of the lecture notes by Carroll. Be aware that different authors use different conventions; in this course, the conventions are as follows.
The Einstein field equations EFE ; also known as Einstein's equations comprise the set of 10 equations in Albert Einstein 's general theory of relativity that describe the fundamental interaction of gravitation as a result of spacetime being curved by mass and energy. Similar to the way that electromagnetic fields are determined using charges and currents via Maxwell's equations , the EFE are used to determine the spacetime geometry resulting from the presence of mass—energy and linear momentum, that is, they determine the metric tensor of spacetime for a given arrangement of stress—energy in the spacetime.
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Physics - Special Relativity (34 of 43) Relativistic Sample Problem - Length
It seems that you're in Germany. We have a dedicated site for Germany. This textbook develops Special Relativity in a systematic way assuming no prior knowledge of Relativity; however the student is assumed to be familiar with the basics of the standard vector calculus. The approach is structural in the sense that it develops Special Relativity in Minkowski space following the same steps with the development of Newtonian Physics in Euclidian space. A second characteristic of the book is that it discusses the mathematics of the theory independently of the physical principles, so that the reader will appreciate its role in the development of the physical theory. The book is intended to be used both as a text-book for a teaching course in Special Relativity but also as a reference book for the future.
By the consideration of a simple example they are led to modify slightly the gravitational equations which then admit regular solutions for the static spherically symmetric case. These solutions involve the mathematical representation of physical space by a space of two identical sheets, a particle being represented by a "bridge" connecting these sheets. One is able to understand why no neutral particles of negative mass are to be found. The combined system of gravitational and electromagnetic equations are treated similarly and lead to a similar interpretation. The most natural elementary charged particle is found to be one of zero mass. The many-particle system is expected to be represented by a regular solution of the field equations corresponding to a space of two identical sheets joined by many bridges.