General Relativity

This App ( General Relativity ) focuses on general relativity for upper-division undergraduates majoring in physics. This App ( General Relativity ) It is meant to be especially well adapted for self-study, and answers are given in the back of the book for almost all the problems. This App ( General Relativity ) The ratio of conceptual to mathematical problems is higher than in most books. The notational system emphasized most strongly is coordinate-free abstract index notation. Knowledge of first-year calculus and lower-division mechanics and electromagnetism is assumed. Differential equations, linear algebra, and vector calculus are used in various spots, and although it would not be too hard to skip over those spots while understanding the general ideas, the reality is that general relativity is a subject in which a fairly high degree of mathematical maturity will be useful. Special relativity is introduced from scratch, but it will be very helpful to have a thorough previous knowledge of Special Relativity .

General relativity, also known as the general theory of relativity and Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics. General relativity generalizes special relativity and refines Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time or four-dimensional spacetime. In particular, the curvature of spacetime is directly related to the energy and momentum of whatever matter and radiation are present. The relation is specified by the Einstein field equations, a system of second order partial differential equations.This App ( General Relativity ) focuses Newton's law of universal gravitation, which describes classical gravity, can be seen as a prediction of general relativity for the almost flat spacetime geometry around stationary mass distributions. Some predictions of general relativity, however, are beyond Newton's law of universal gravitation in classical physics. These predictions concern the passage of time, the geometry of space, the motion of bodies in free fall, and the propagation of light, and include gravitational time dilation, gravitational lensing, the gravitational redshift of light, the Shapiro time delay and singularities/black holes. So far, all tests of general relativity have been shown to be in agreement with the theory. The time dependent solutions of general relativity enable us to talk about the history of the universe and have provided the modern framework for cosmology, thus leading to the discovery of the Big Bang and cosmic microwave background radiation. Despite the introduction of a number of alternative theories, general relativity continues to be the simplest theory consistent with experimental data. Reconciliation of general relativity with the laws of quantum physics remains a problem however, as there is a lack of a self-consistent theory of quantum gravity; and how gravity can be unified with the three non-gravitational forces—strong, weak, and electromagnetic forces.

App General Relativity Include :

★ Time and Causality

★ Experimental Tests of the Nature of Time

★ Ordered Geometry

★ The Equivalence Principle

★Geometric Theory of Spacetime

★Geometry of Flat Spacetime

★ The Light Cone

★ Differential Geometry

★ Tangent Vectors

★ Models

★The Metric

★Tensors

★Conservation Laws

★Curvature

★ Curvature Tensors

★ Vacuum Solutions

★ Degenerate Solutions

★Black Holes

★ Symmetries

★Killing Vectors

★ Sources

★ Cosmological Solutions

★ Gravitational Waves

★The Speed of Gravity

★ Gravitational Radiation

★ The Equivalence Principle

★ General Relativity

★ Special Relativity

★ relativity

★Geometry of Newtonian gravity

★ Relativistic generalization

★Einstein's equations

★Total force in general relativity

★ Gravitational lensing

★Gravitational-wave astronomy

★Cosmology