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http://fronsdal.physics.ucla.edu

Christian Fronsdal

Hydrodynamics, Thermodynamics, General Relativity

Office: 4-941 PAB
Phone: (310) 825-3432

Home (310) 459 1392

Educational Background:

  • Ph.D., UCLA, 1957

Research Interest. Updated December 2017

 

Feb 16  2018. Here is an very big improvement of a paper that was posted on Feb 2 with a slightly different title. it is available below.

1. ``A classical mistake and what it tells us".  I hope this is a definitive version. Comments are received with thanks.

How to do better with an action principle for Hydro and Thermo-dynamics"

2. ``Rotating planets in Newtonian gravity". Planets with spontaneous rings

3. My book on Adiabatic Thermodynamics is finished except for small corrections. It is presented in one piece (``Combined"); the final version will be loaded tomorrow. It is lso offered in  individual Chapters ,15 segments in all. . The final versions will be loaded in a few days.

 The essential message is that we now have the Action Principle for Thermodynamics that was sought by Helmholtz, Maxwell, Duhem and Poincare.Among the applications is a powerful theory of mixtures. It is local and includes hydrodynamics.

Chapter X is an exposition of Conservative Hydrodynamics of general flows with vorticity, the first progress in this field since 1760. Stresses such as are observed in water are included; applications include hydrodynamic stability and rotating planets with rings and  a new theory of the meniscus and the stresses

below the surface. Chapter 13 presents rotating sources for Genral Trlativity.

5. ``Inside the meniscus"

 

 

   Comments are solicited and  received with thanks.

 

 

  1. Relativistic Thermodynamics, a Lagrangian Field Theory
    for general flows including rotation arXive:  1106.2271V5[GR-QC], revised 2014.

 

 

 

 

 

Selected Recent Publications (link to LANL archive)

  1. Completion and Embedding of the Schwarzschild Solution, Phys. Rev. 116, 778 (1959).
  2. Simple Groups and Strong Interaction Symmetries (with R. E. Behrends, J. Dreitlein and B. W. Lee), Rev. Mod. Phys. 34, 1 (1962).
  3. Deformation Theory and Quantization.
    I. Deformations and Symplectic Structures (with F. Bayen, M. Flato, A. Lichnerowicz and D. Sternheimer), Ann. Phys. 111, 61 (1978).
    II. Physical Applications (with F. Bayen, M. Flato, A. Lichnerowicz and D. Sternheimer), Ann. Phys. 111, 111 (1978).
  4. Massless Fields with Integer Spin, Phys. Rev. D18, 3624 (1978).
  5. Massless Fields with Half-Integral Spin (with J. Fang), Phys. Rev. D 18, 3630 (1978).
  6. What is a Covariant Derivative?, JGP 7, 305-338 (1990).
  7. Growth of a Black Hole, J. Geom. Phys. 57, 167-177 (2006).
  8. Ideal Stars and General Relativity, Gen.Rel.Grav. 39 1971-2000 (2007).
  9. Cosmology with an Action Principle (in preparation).
  10. Stability of Polytropes, Phys.Rev. D 77 (2008).
  11. Reissner-Nordstrom and Charged Polytropes, Lett. Math.Phys. 82, 255-273 (2007)
  12. Heat and Gravitation. The Action Principle, Entropy 2014, 16(3), 1515-1546; doi:10.3390/e16031515
  13. Heat and Gravitation. II Stability Criteria. Published in General Relativity and Gravitation 2011.
  14. Action Principle for Hydrodynamics and Thermodynamics including general, rotational flows, arXive:1405.7138.
  15. Relativistic Thermodynamics, a Lagrangian Field Theory
    for general flows including rotation arXive:  1106.2271V5[GR-QC], revised 2014.