Titlebook: General Relativity; N. M. J. Woodhouse Textbook 2007 Springer-Verlag London 2007 Cosmology.Einstein‘s equation.Gravity.RMS.Redshift.Relati

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Tensor Calculus,We have seen that the space—time of general relativity is a four-dimensional manifold and that gravity is encoded in the metric tensor. It manifests itself in the relative acceleration of local inertial frames, and thus in variations in the metric from event to event.

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,Einstein’s Equation,The relative acceleration of two nearby particles in free-fall is determined by the equation of geodesic deviation

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Spherical Symmetry,In this chapter, we find the gravitational field outside a spherical body of mass .. That is, we find the solution of the vacuum equation analogous to the Newtonian potential

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,Orbits in the Schwarzschild Space—Time,We now look at particle motion in the Schwarzschild background. Our main aim is to derive corrections to Kepler’s laws, so we think of the gravitational field as that of the sun. By a ‘particle’, we mean a very small body, such as a planet, whose own gravitational field can be ignored.

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Complement in Health and Diseaseou do experiments in the cabin of a ship on a calm sea—for example, by dripping water into a bucket or by observing the flight of insects—then you will get the same results whether the ship is moving uniformly or at rest. The common motion of the ship and the objects of the experiment has no detecta

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