This is a partial list of published research, arranged chronologically, into the viability of closed timelike curves.  
(Particularly influential science fiction is included.)


1895

Wells, H. G. The Definitive Time Machine: A Critical Edition of H. G. Wells’s Scientific Romance. [Edited] with introduction and notes by Harry M. Geduld. Bloomington: Indiana University Press, 1987. 

1937

Van Stockum, Willem Jacob. “The Gravitational Field of a Distribution of Particles Rotating about an Axis of Symmetry,” Proceedings of the Royal Society of Edinburgh, 57 (1937).

1949

Gödel, Kurt. “An Example of a New Type of Cosmological Solution of Einstein’s Field Equations of Gravitation. Reviews of Modern Physics 21, no. 3 (July 1949): 447–450.

1974

Tipler, Frank J.  “Rotating Cylinders and the Possibility of Global Causality Violation.” Physical Review D 9, no. 8 (April 15, 1974): 2203–2206.

1976

Lewis, David. “The Paradoxes of Time Travel.” American Philosophical Quarterly 13, no. 2 (April 1976).

Tipler, Frank J. “Causality Violation in Asymptotically Flat Space-Times.” Physical Review Letters 37, no. 14 (October 4, 1976): 879–882.

1988

Morris, Michael S., and Kip S. Thorne. “Wormholes in Spacetime and Their Use for Interstellar Travel: A Tool for Teaching General Relativity.” American Journal of Physics 56 (May 1988): 395–412.  

Morris, Michael S., Kip S. Thorne, and Ulvi Yurtsever. “Wormholes, Time Machines, and the Weak Energy Condition.” Physical Review Letters 61, no. 13 (September 26, 1988): 1446–1449. 

1990

Friedman, John L., Michael S. Morris, Igor D. Novikov, Fernando Echeverria, Gunnar Klinkhammer, Kip S. Thorne, and Ulvi Yurtsever. “Cauchy Problem in Spacetimes with Closed Timelike Curves.” Physical Review D 42, no. 6 (September 15, 1990): 1915–1930.

1991

Gott, J. Richard. “Closed Timelike Curves Produced by Pairs of Moving Cosmic Strings: Exact Solutions.” Physical Review Letters 66, no. 9 (March 4, 1991): 1126–1129.  

1992


Hawking, Stephen. “The Chronology Protection Conjecture.” Physical Review D 46, no. 2 (July 15, 1992): 603–611.
 
Lossev, Andrei, and Igor D. Novikov. “The Jinn of the Time Machine: Non-trivial Self-Consistent Solutions.” Classical and Quantum Gravity 9 (October 1992): 2309–2321.

1993

Visser, Matt. “From Wormhole to Time Machine: Remarks on Hawking’s Chronology Protection Conjecture.” Physical Review D 47, no. 2 (January 15, 1993): 554–565. 

1997

Visser, Matt. “Traversable Wormholes: The Roman Ring.” Physical Review D 55, no. 8 (April 15, 1997): 5212–5214.



Overviews in books or parts of books


Thorne, Kip S. Black Holes and Time Warps: Einstein’s Outrageous Legacy. New York: W. W. Norton & Company, 1994.

Visser, Matt.  Lorentzian Wormholes: From Einstein to Hawking. New York: American Institute of Physics, 1995.

Deutsch, David. The Fabric of Reality: The Science of Parallel Universes—and Its Implications. New York: Allen Lane, 1997. 
 
Gott, J. Richard. Time Travel in Einstein’s Universe. Boston: Houghton Mifflin Company, 2001.