Seminars & Lectures
| * TITLE | Mass and Thermodynamic Volume in Lifshitz Spacetimes | ||||||
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| * DATE / TIME | 2016-06-09, 16:30~ , 537 Conference Room | ||||||
| * ABSTRACT | |||||||
| We examine the concept of black hole thermodynamic volume and its consistency with ther- modynamic mass in spacetimes that are not asymptotically flat but instead have anisotropic Lif- shitz scaling symmetry. We find that the generalized Smarr relation in anti de Sitter space – extended to include a pressure-volume term – holds here as well, and that there exists a defini- tion of thermodynamic mass and thermodynamic volume that satisfy both this relation and the 1st law of thermodynamics. We compare the thermodynamic mass with other known quantities such as Arnowitt-Deser-Misner, Brown-York and Hollands-Ishibashi-Marolf masses. We also conjecture methods for obtaining a thermodynamic mass where there is ambiguity due to the cosmological constant lengthscale depending on the horizon radius lengthscale. | |||||||
