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gr-qc2026
The Role of the Volume in Black Hole Thermodynamics
William Ballik
Gibbons et al. [arXiv:hep-th/0408217] found the energy of Kerr--anti-de Sitter black holes by integrating the first law of black hole thermodynamics. They found that corres…
gr-qc2013★ 48 cited
The Vector Volume and Black Holes
William Ballik, Kayll Lake
By examining the rate of growth of an invariant volume of some spacetime region along a divergence-free vector field , we introduce the concept of a "vector volum…
gr-qc2010★ 19 cited
The volume of stationary black holes and the meaning of the surface gravity
William Ballik, Kayll Lake
The invariant four-volume of a complete black hole (the volume of the spacetime at and interior to the horizon) diverges. However, if one considers the black hole set…