2014/06/05 by Scott MacDonald, Scott B. MacDonald, MacDonald, Scott
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Expression (computer science) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometry #High Energy Physics - Theory (hep-th) #Mathematical physics #Mathematics #Physics #Quantum mechanics #Rotation (mathematics) #Spacetime #Theoretical physics #Thermodynamics #Volume (thermodynamics) #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1406.1257
11 pages, 4 figures; v2: some references added
openalex publication_date 2014/06/05 · arxiv created 2014/12/02 · arxiv updated 2014/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
In theories of gravity where the cosmological constant defines a thermodynamic variable, the pressure, it has been shown that solutions of Einstein's equations have a corresponding thermodynamic volume. In general, the expression for the volume is not the same as the one arising from naive geometrical considerations. Both rotation and nut charge are properties known in the literature to give non-geometric thermodynamic volumes, and so we combine the two in a single example and compute the volume for the Kerr-bolt-AdS spacetime, presenting a new expression that generalizes the previously known non-geometric cases.