Gravity Field Theory in Flat Space Time: Best References

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Discussion Overview

The discussion revolves around seeking modern references for classical gravitation treated as a field theory in flat spacetime. Participants share various resources and express thoughts on the implications of the flat metric in relation to observable phenomena and theoretical frameworks.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests suggestions for modern treatments of classical gravitation as a field theory in flat spacetime, specifically beyond the Feynman lectures.
  • Another participant provides links to resources, including "Gravity and Strings" by Tomás Ortín and EPFL Lectures on General Relativity as a Quantum Field Theory by Donoghue et al.
  • A different participant highlights a paper focusing on massive gravity that reviews the Fierz-Pauli theory, suggesting it contains valuable insights.
  • Another resource mentioned is Straumann's "Reflections on Gravity," which raises the point that the flat metric may not be physically observable and questions how this approach addresses black holes.
  • There is a description of a pedagogical approach to General Relativity that parallels well-understood field theories, leading to significant weak field predictions and implications for Einstein's field equations, while noting that the flat metric is ultimately unobservable.
  • Participants discuss the implications of tensor-scalar generalizations, vacuum energy density, and quintessence in the context of the field theoretic approach.

Areas of Agreement / Disagreement

Participants present multiple competing views regarding the implications of the flat metric and its observability, as well as the treatment of black holes within this framework. The discussion remains unresolved on these points.

Contextual Notes

There are limitations regarding the assumptions about the observability of the flat metric and the dependence on specific definitions of gravitational theories. The discussion does not resolve how these theories relate to black holes or the implications of the proposed approaches.

andresB
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Besides the Feynman lectures on gravitation, I'm looking for modern and complete treatments of the topic of classical gravitation as a field theory in flat space time. Any suggestion?
 
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Moderator's note: modified thread title a bit to make it more descriptive.
 
https://arxiv.org/abs/astro-ph/0006423 might be interesting too. Straumann's "Reflections on Gravity".

Note that the "flat" metric turns out not to be physically observable. How - and even if - the whole approach deals with black holes isn't particularly clear to me.

abstract said:
A pedagogical description of a simple ungeometrical approach to General Relativity is given, which follows the pattern of well understood field theories, such as electrodynamics. This leads quickly to most of the important weak field predictions, as well as to the radiation damping of binary pulsars. Moreover, certain consistency arguments imply that the theory has to be generally invariant, and therefore one is bound to end up with Einstein's field equations. Although this field theoretic approach, which has been advocated repeatedly by a number of authors, starts with a spin-2 theory on Minkowski spacetime, it turns out in the end that the flat metric is actually unobservable, and that the physical metric is curved and dynamical.
Short sections are devoted to tensor-scalar generalizations, the mystery of the vacuum energy density, and quintessence.
 

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