Selected publications
Papers
Synge, J. L. (1922). "Principal Directions in a Riemann Surface". Proc Natl Acad Sci U S A. 8 (7): 198–203. Bibcode:1922PNAS....8..198S. doi:10.1073/pnas.8.7.198. PMC 1085093. PMID 16586876.
Synge, J. L. (1922). "Principal Directions in the Einstein Solar Field". Proc Natl Acad Sci U S A. 8 (7): 204–207. Bibcode:1922PNAS....8..204S. doi:10.1073/pnas.8.7.204. PMC 1085094. PMID 16586877.
Synge, J. L. (1925). "A generalisation of the Riemannian line-element". Trans. Amer. Math. Soc. 27 (1): 61–67. doi:10.1090/s0002-9947-1925-1501298-7. MR 1501298.
Synge, J. L. (1932). "The apsides of general dynamical systems". Trans. Amer. Math. Soc. 34 (3): 481–522. doi:10.1090/s0002-9947-1932-1501649-7. MR 1501649.
Synge, J. L. (1934). "On the Expansion or Contraction of a Symmetrical Cloud under the Influence of Gravity". Proc Natl Acad Sci U S A. 20 (12): 635–640. Bibcode:1934PNAS...20..635S. doi:10.1073/pnas.20.12.635. PMC 1076503. PMID 16587921.
Synge, J. L. (1938). "The absolute optical instrument". Trans. Amer. Math. Soc. 44 (1): 32–46. doi:10.1090/s0002-9947-1938-1501960-5. MR 1501960.
Books
1931 The Mathematical Papers of Sir William Rowan Hamilton: Volume 1, Geometrical Optics; Pub: Cambridge
1937 Geometrical Optics: An Introduction to Hamilton's Method; Pub: Cambridge
1942 Geometrical Mechanics and de Broglie Waves; Pub: Cambridge
1942 Principles of Mechanics (with Byron A. Griffith); Pub: McGraw Hill
1949 Tensor Calculus (with Alfred Schild) Mathematical Exposition #5 from University of Toronto Press
1951 Science: Sense and Nonsense; Pub: Norton / Jonathan Cape
1952 Jump Conditions at Discontinuities in General Relativity (with Stephen O'Brien); Pub: DIAS (Communications of the Dublin Institute for Advanced Studies 9, Series A)
1956 Relativity: The Special Theory; Pub: North-Holland
1956 Geometrical Optics in Moving Dispersive Media; Pub: DIAS (Communications of the Dublin Institute for Advanced Studies 12, Series A)
1957 The Relativistic Gas; Pub: New Holland
1957 The Hypercircle in Mathematical Physics; Pub: Cambridge
1957 Kandelman's Krim: A Realistic Fantasy; Pub: Jonathan Cape
1960 Relativity: The General Theory; Pub: North-Holland
1961 Notes on the Schwarzschild Line-Element (with Petros S. Florides); Pub: DIAS (Communications of the Dublin Institute for Advanced Studies 14, Series A)
1964 The Petrov Classification of Gravitational Fields; Pub: DIAS (Communications of the Dublin Institute for Advanced Studies 15, Series A)
1970 Talking About Relativity; Pub: North-Holland
1972 Quaternions, Lorentz Transformations and the Conway-Dirac-Eddington Matrices; Pub: DIAS (Communications of the Dublin Institute for Advanced Studies 21, Series A)
1972 General Relativity: Papers in Honour of J. L. Synge (editor Lochlainn O'Raifeartaigh); Pub: Clarendon/Oxford