Summary of Mathematics

Computer Algebra Software      

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KERR BLACK HOLES
("the most important exact solution of any equation in physics" - source of quote not yet identified)
               (1)  Original PRL paper (has typos identified in (4))

  Published book
           (2) "THE KERR SPACETIME" (CUP)
           (3) "THE KERR SPACETIME" (AMAZON)

  ArXiv papers
           (4) Kerr's personal account of how he derived his famous metric
           (5) Math details of Kerr metric by Matt Visser
           (6) Black Hole Uniqueness Theorems by David Robinson

YouTube video of Kerr describing how he got his solution (essentially a verbal description of (4) above). This site also has links to other black hole talks
         given at an after dinner talk at the NZ consulate in Berlin.        
         https://www.youtube.com/watch?v=jji2pgfq7oE
         A particularly interesting and clear exposition of numerical relativity is posted at https://www.youtube.com/watch?v=adQumfzldUM


  Kerrfest links
           Photos of Kerr
           Kerr Fest (70th birthday)
           Kerr Fest program
           Kerr Fest guest book
           NZ magazine article

  Other Kerr metric publications
           (7) Account of Texas Symposium (published in Physics Today)
           (8) Kerr-Schild form for vacuum solutions (R.P Kerr & A. Schild)
           (9) Race for the Kerr Metric (Dautcourt)

 GR Publications
           (1) Doran Coordinates (Doran)
           (2) Exact solutions of the Einstein equations (M.A.H. MacCallum),
           (3) History of the so-called Lense-Thirring Effect (H. Pfister) (this paper persuasively argues that Einstein deserves all the credit).

HORAVA QUANTUM GRAVITY (ArXiv preprints)
          "Quantum Gravity at a Lifschitz Point"
          "Membranes at Quantum Criticality"
          "Quantum Criticality and Yang-Mills Guage Theory"
          "Status of Horava gravity: A personal perspective" A good introduction to the issues outstanding

LOOP GRAVITY
          "Loop Quantum Gravity" (Rovelli)

DIRAC PAPERS  
           Dirac equation
           Einstein coefficients
           Magnetic monopoles and anti-matter

DNA STRUCTURE
               Watson & Crick Nature paper

EINSTEIN PAPERS
                Special relativity
            General relativity
            Photo-electric effect
            Brownian motion

CHANDRASEKHAR
                       Stochastic Problems in Physics & Astronomy

JEARL WALKER
            Physics of the Rainbow

JACOB ISRAELACHVILI
                       Van der Waals Force from the Bohr Atom (excerpt from a review paper)