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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Variational Pr<strong>in</strong>ciples: Metric–Aff<strong>in</strong>e<br />
METRIC–AFFINE variational pr<strong>in</strong>ciple:<br />
• no a priori relation between metric and connection<br />
• second-order differential equations of field<br />
• mathematically equivalent to BD gravity with ω=−3/2<br />
• field equations <strong>in</strong> vacuum reduce to GR with cosmological constant<br />
• no <strong>in</strong>stabilities<br />
• no <strong>in</strong>consistencies with cosmological evolution<br />
• both the Jordan and E<strong>in</strong>ste<strong>in</strong> frame obey DEC<br />
Work presented here uses metric–aff<strong>in</strong>e formulation
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