Isotropic inhomogeneous metric

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    Isotropic Metric
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Discussion Overview

The discussion revolves around the search for a spherical symmetric, static, isotropic, and inhomogeneous metric in cosmology. Participants explore various models, particularly the Lemaître-Tolman-Bondi (LTB) metric and inhomogeneous Friedmann-Robertson-Walker (FRW) metrics, while seeking suggestions and insights from others.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant mentions the LTB metric as a possible candidate for an isotropic and inhomogeneous metric.
  • Another participant references a paper discussing an inhomogeneous cosmological model, suggesting it may be relevant to the inquiry.
  • A later reply notes that the discussed paper presents an inhomogeneous FRW universe, indicating that the metric is time-dependent and not static, which may not align with the original request for a static metric.

Areas of Agreement / Disagreement

Participants express differing views on the suitability of the LTB metric versus inhomogeneous FRW metrics, and there is no consensus on the best approach or model to use.

Contextual Notes

Some limitations include the potential misunderstanding of static versus time-dependent metrics and the reliance on specific definitions of isotropy and inhomogeneity.

ridox
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Hi everyone,

I have been looking for a spherical symetric, static, isotropic and inhomogeneous metric, so far I had found the LTB metric which could be one possible candidate, but i was thinking more like a inhomogeneous FRW metric. I appreciate your suggestions and thank you for your time.
 
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This paper discusses an inhomogenous cosmological model.

arXiv:astro-ph/0506534 v2 22 Jun 2006.

I haven't read it since it was published by FermiLab. ( I hope that pedigree is good enough to count as a serious journal ).
 
ridox said:
Hi everyone,

I have been looking for a spherical symetric, static, isotropic and inhomogeneous metric, so far I had found the LTB metric which could be one possible candidate, but i was thinking more like a inhomogeneous FRW metric. I appreciate your suggestions and thank you for your time.

See http://www.springerlink.com/content/216678r46j703580

AB
 
Mentz114 said:
This paper discusses an inhomogenous cosmological model.

arXiv:astro-ph/0506534 v2 22 Jun 2006.

I haven't read it since it was published by FermiLab. ( I hope that pedigree is good enough to count as a serious journal ).

They give an inhomogeneous FRW universe, meaning that the metric is dependent on time so it is not definitely static. This can be seen clearly from the line element they are woking with from the beginning that has a factor [tex]h(\textbf{x},t)[/tex] multiplied by all spatial components, i.e. [tex]g_{ij}.[/tex]

AB
 
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