Deriving the equations of motion in f(T) gravity

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Discussion Overview

The discussion revolves around the derivation of the equations of motion in f(T) gravity, which is an extension of teleparallel gravity. Participants are seeking resources or papers that explicitly detail this derivation, particularly focusing on the variation of the action with respect to the vierbein.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant requests papers that derive the equations of motion in f(T) gravity, noting a lack of resources compared to f(R) gravity.
  • Another participant confirms that f(T) refers to teleparallel gravity and suggests a link to a paper that may contain relevant material, although they have not reviewed it themselves.
  • A later reply indicates that the participant was initially unable to access the suggested link but later found it helpful.

Areas of Agreement / Disagreement

Participants generally agree on the identification of f(T) gravity as an extension of teleparallel gravity, but the discussion remains unresolved regarding the availability of specific derivations or resources.

Contextual Notes

Limitations include the lack of detailed derivations or explicit references to papers that meet the initial request, as well as the varying familiarity of participants with the topic.

birdhen
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Hi there,

I originally posted this in the SR, GR section so sorry for the re-post.

Can anyone point me in the direction of any papers that explicitly derive the equations of motion in f(T) gravity. I have seen the wikipedia derivation in f(R) gravity but can't find anything for f(T) where the action is varied wrt to the vierbein.

Many thanks
 
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f(T) means teleparallel gravity ?

If so, http://www.ift.unesp.br/gcg/tele.pdf" seems to have some expository material including the Lagrangian and variational prinicple. I haven't read it myself, and it's not a field with which I'm familiar, but maybe it helps ...?
 
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HI there,
Thank you for your reply, yes, f(T) gravity is an extension of teleparallel gravity.

PS I can't get your link to work, it just comes up blank.

Cheers
 
Hi there,

I have moved to another computer and can open it fine now. Thanks very much it is very helpful!
 

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