Precision Cosmology: The First Half Million Years by Bernard J. T. Jones

Author:Bernard J. T. Jones [Jones, Bernard J. T.]
Language: eng
Format: azw3, pdf
Publisher: Cambridge University Press
Published: 2017-04-30T04:00:00+00:00

(15.65)

(15.66)

(15.67)

(15.68)

The corresponding non-zero elements of the Ricci tensor are

(15.69)

(15.70)

and the Ricci scalar is

(15.71)

(To get this it is necessary to first get the mixed-form of the Ricci tensor .)

We shall write the Einstein equations for a perfect fluid in the form

(15.72)

The coordinate system is comoving so a comoving observer has 4-velocity . Hence using mixed indices we simply have .

Now use the values for the components of the Ricci tensor given above. This results in only two equations, one arising from the 00-component and the other arising from the -components (). The -components provide only one equation since the spatial diagonal entries of the energy–momentum tensor are all the same, and all the off-diagonal components are zero. We get

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.