YOUTUBE VIDEO DOWNLOADS ARE NO LONGER ALWAYS FREE (11/17)
Some of the Youtube links below now require a subscription.

Summary of Mathematics

Computer Algebra Software 

ABRAMOWITZ AND STEGUN ONLINE  https://dlmf.nist.gov     

__________________________________________________________________________________________________
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 (3))

  Published book

           (2) "THE KERR SPACETIME" (AMAZON)

  ArXiv papers
           (3) Kerr's personal account of how he derived his famous metric
           (4) Math details of Kerr metric by Matt Visser
          

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.  [THE FOLLOWING SEEM TO BE PAYWARE NOW (11/17), BUT CHECK TO SEE IF OTHER LINKS ARE NOT]      
         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
           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"
         

LOOP GRAVITY
          "Loop Quantum Gravity" (Rovelli)

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

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)