Holography with Gravitational Chern-Simons

The holographic description in the presence of gravitational Chern-Simons term is studied. The modified gravitational equations are integrated by using the FeffermanGraham expansion and the holographic stress-energy tensor is identified. The stressenergy tensor has both conformal anomaly and gravitational or, if re-formulated in terms of the zweibein, Lorentz anomaly. We comment on the structure of anomalies in two dimensions and show that the two-dimensional stress-energy tensor can be reproduced by integrating the conformal and gravitational anomalies. We study the black hole entropy in theories with gravitational Chern-Simons and find that the usual Bekenstein-Hawking entropy is modified. For the BTZ black hole the modification is determined by area of the inner horizon. We show that the total entropy of BTZ black hole is precisely reproduced in a boundary CFT calculation using the Cardy formula. 1 [email protected]