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2 results

  • Chapter 14 - A Little Rotation

  • from Part II - The Curved Spacetimes of General Relativity
  • James B. Hartle, University of California, Santa Barbara
  • Book:
    Gravity
    Published online:
    03 September 2021
    Print publication:
    24 June 2021, pp 296-309

  • Summary

    The Schwarzschild geometry that underlies much of the physics in previous chapters is exactly spherically symmetric. It is an excellent approximation to the geometry outside a nonrotating star, and is the exact geometry outside a nonrotating black hole. However, no body in nature is exactly nonrotating. The Sun, for example, is rotating at the equator with a period of approximately 27 days, and it is not exactly spherically symmetric, but is slightly squashed along the rotation axis (it is less than 1 part in 100,000 longer than a diameter along the rotation axis). The small value of that difference is why the Schwarzschild geometry is an excellent approximation to the curved spacetime geometry outside the Sun. The curved spacetimes produced by rotating bodies have a richer and more complex structure than the Schwarzschild geometry. This chapter explores one simple example of a gravitomagnetic effect – the dragging of inertial frames by a slowly rotating body.

  • 9 - Other Tests of Post-Newtonian Gravity

  • Clifford M. Will, University of Florida
  • Book:
    Theory and Experiment in Gravitational Physics
    Published online:
    07 September 2018
    Print publication:
    27 September 2018, pp 192-205

  • Summary

    We describe experimental tests of the effects of spinning bodies, which include precessions of spins as well as orbital perturbations. We give a technical and historical review of Gravity Probe B, a space experiment to measure the precession of orbiting gyroscopes, and the LAGEOS measurements of orbital perturbations, induced by the spinning Earth. We review experimental tests of post-Newtonian conservation laws, and the bounds on the relevant PPN parameters.