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University of Waterloo

1. Hansen, Devin. Horizon Thermodynamics from Einstein's Equation of State.

Degree: 2017, University of Waterloo

The striking resemblance between geometric theories of gravity and thermodynamics suggests a more fundamental relationship between the two seemingly distinct theories. It has been postulated that the radial Einstein equations projected onto the event horizon of a black hole are in fact an equation of state of an ensemble whose temperature is given by the Hawking temperature of the spacetime and whose pressure is the stress-energy on the horizon. We study the consequences of this postulate in detail and find several interesting results. First, we demonstrate how a cohomogeneity-2 first law can be derived from the equation of state, and find that in the process we obtain an independent definition of black hole entropy which matches the Wald entropy in several nontrivial cases. Second, we find that the spectrum of thermodynamic behaviour in this paradigm is rich and includes the standard Hawking-Page transition as well as re-entrant phase transitions, Van der-Waals transitions, and triple points similarly to what has been observed in the Black Hole Chemistry approach. Finally, we find that horizon thermodynamics does not easily extend to spacetimes whose symmetries do not sufficiently reduce the number of independent field equations. Though we do not yet have a quantitative limit to horizon thermodynamics, we find that conceptual sacrifices must be made in order to keep ignorant of conserved charges in more general spacetime backgrounds.

Subjects/Keywords: Black Holes; Horizon Thermodynamics; General Relativity

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Hansen, D. (2017). Horizon Thermodynamics from Einstein's Equation of State. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/11826

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Hansen, Devin. “Horizon Thermodynamics from Einstein's Equation of State.” 2017. Thesis, University of Waterloo. Accessed November 12, 2019. http://hdl.handle.net/10012/11826.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Hansen, Devin. “Horizon Thermodynamics from Einstein's Equation of State.” 2017. Web. 12 Nov 2019.

Vancouver:

Hansen D. Horizon Thermodynamics from Einstein's Equation of State. [Internet] [Thesis]. University of Waterloo; 2017. [cited 2019 Nov 12]. Available from: http://hdl.handle.net/10012/11826.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hansen D. Horizon Thermodynamics from Einstein's Equation of State. [Thesis]. University of Waterloo; 2017. Available from: http://hdl.handle.net/10012/11826

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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