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07 February 2025
 
  » arxiv » 1109.0169

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Unimodular Gravity with Pseudo-scale Invariance
Pankaj Jain ; Purnendu Karmakar ; Naveen K. Singh ;
Date 1 Sep 2011
AbstractWe consider a model of gravity and matter fields which is invariant only under unimodular general coordinate transformations (GCT). The determinant of the metric is treated as a separate field which transforms as a scalar under unimodular GCT. Furthermore we also demand that the theory obeys pseudo-scale invariance. We study the implications of the resulting theory. We solve the resulting field equations for a sperically symmetric system in vacuum. We find that the resulting solution contains an additional term in comparison to the standard Schwarzchild solution. We also study the cosmological implications of the model. We find that both in case of radiation and matter dominated universe it predicts an accelerated expansion. Furthermore the model does not admit a cosmological constant, thereby solving its fine tuning problem.
Source arXiv, 1109.0169
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