TAILIEUCHUNG - Ebook A first course in general relativity (2nd edition): Part 2

(BQ) Part 2 book "A first course in general relativity" has contents: Physics in a curved spacetime, the einstein field equations, gravitational radiation, spherical solutions for stars, schwarzschild geometry and black holes, cosmology. | 7 Physics in a curved spacetime T h e t r a n s i t i o n f r o m d i f f e r e n t i a l g e o m e t r y to gravity The essence of a physical theory expressed in mathematical form is the identification of the mathematical concepts with certain physically measurable quantities. This must be our first concern when we look at the relation of the concepts of geometry we have developed to the effects of gravity in the physical world. We have already discussed this to some extent. In particular, we have assumed that spacetime is a differentiable manifold, and we have shown that there do not exist global inertial frames in the presence of nonuniform gravitational fields. Behind these statements are the two identifications: (I) Spacetime (the set of all events) is a four-dimensional manifold with a metric. (II) The metric is measurable by rods and clocks. The distance along a rod between two nearby points is

• Toán học
• A first course in general relativity
• General relativity
• Physics in a curved spacetime
• The einstein field equations
• Gravitational radiation
• Spherical solutions for stars
• Schwarzschild geometry
• Special relativity
• Vector analysis in special relativity
• Perfect fluids in special relativity
• Preface to curvature
• Curved manifolds