Dark Energy in f(R) Gravity - Indiana University
Dark Energy in f(R) Gravity - Indiana University
Dark Energy in f(R) Gravity - Indiana University
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Jordan frame<br />
Assume action for matter is <strong>in</strong>dependent of connection (good for cosmology)<br />
Variation of connection <br />
connection = Christoffel symbols of<br />
Variation of metric <br />
~<br />
<br />
[ f '(<br />
R)<br />
g g<br />
Dynamical energy-momentum (EM) tensor generated by metric:<br />
Writ<strong>in</strong>g {} ~ ...<br />
g<br />
and<br />
R<br />
<br />
<br />
<br />
~<br />
~<br />
( ) R ( g)<br />
<br />
<br />
~<br />
<br />
]<br />
<br />
0<br />
<br />
{} g<br />
allows <strong>in</strong>terpretation of Θ as additional source and br<strong>in</strong>gs EOF <strong>in</strong>to GR form<br />
:
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