The bending of starlight is twice the Newtonian prediction

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Discussion Overview

The discussion revolves around the bending of starlight as predicted by Newtonian gravity compared to general relativity (GR). Participants explore the implications of the equivalence principle, the nature of gravitational fields, and the mathematical underpinnings of light deflection in both uniform and non-uniform gravitational fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that light bending in an accelerating frame can be described by a rate of a/c, leading to a 'Newtonian' prediction of g/c rad/sec for light in a uniform gravitational field.
  • Others argue that the equivalence principle applies locally, and that the deflection of starlight involves non-local effects, as light travels from infinity and is influenced by the spatial curvature of the gravitational field.
  • A participant questions why there is no spatial distortion in uniform gravitational fields despite temporal distortion, referencing the Schwarzschild metric and its implications.
  • Some contributions suggest that the simplifications made to the Einstein field equations neglect spatial curvature, which is essential for understanding the additional deflection predicted by GR.
  • One participant mentions that as the line of sight moves further from the star, the bending may approach the Newtonian prediction, but questions why GR predictions are stated to be precisely twice the Newtonian ones.
  • Another participant emphasizes the importance of solving the Einstein field equations to understand the contributions of both spatial and temporal components to light bending.
  • There is a discussion about the relationship between the spatial and temporal components of the metric and how they affect the bending of light.

Areas of Agreement / Disagreement

Participants express differing views on the application of the equivalence principle, the role of spatial curvature, and the relationship between uniform and non-uniform gravitational fields. The discussion remains unresolved, with multiple competing perspectives on the implications of GR versus Newtonian predictions.

Contextual Notes

Limitations include the dependence on specific assumptions about gravitational fields, the complexity of the Einstein field equations, and the unresolved nature of how spatial and temporal components interact in different gravitational contexts.

  • #91
That mathpages treatment ("doubling the deflection") is really insightful. It shows that the total deflection is doubled w.r.t. Newton, but not necessarily at every point of the photon's path; that depends on your coordinates.
 

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