Generalized Chern–Simons modified gravity in first-order formalism

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• 作者：ümit Ertem (1)
  ?zgür A??k (1)
  
• 关键词：Chern–Simons modified gravity ; Torsion ; Nieh ; Yan invariant
• 刊名：General Relativity and Gravitation
• 出版年：2013
• 出版时间：February 2013
• 年：2013
• 卷：45
• 期：2
• 页码：477-488
• 全文大小：152KB
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• 作者单位：ümit Ertem (1)
  ?zgür A??k (1)
  
  1. Department of Physics, Faculty of Sciences, Ankara University, Tando?an-Ankara, 06100, Turkey
  
• ISSN：1572-9532

文摘

We propose a generalization of Chern–Simons (CS) modified gravity in first-order formalism. CS modified gravity action has a term that comes from the chiral anomaly which is Pontryagin invariant. First-order CS modified gravity is a torsional theory and in a space-time with torsion the chiral anomaly includes a torsional topological term called Nieh-Yan invariant. We generalize the CS modified gravity by adding the Nieh-Yan term to the action and find the effective theory. We compare the generalized theory with the first-order CS modified gravity and comment on the similarities and differences.