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rigor (n.)

late 14c., rigour, "harshness, severity in dealing with persons; force; cruelty," from Old French rigor "strength, hardness" (13c., Modern French rigueur), from Latin rigorem (nominative rigor) "numbness, stiffness, hardness, firmness; roughness, rudeness," from rigēre "be stiff" (from PIE root *reig- "stretch; be stretched; be stiff").

Also, in medieval medicine, "a sudden chill" (c. 1400). From early 15c. as "exactness, strictness without indulgence" (of discipline, the law, etc.). Compare rigidity. Rigorism "rigidity in principles or practice" (originally religious) is from 1704. Rigidist is by 1716.

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Definitions of rigor from WordNet

rigor (n.)
something hard to endure;
Synonyms: asperity / grimness / hardship / rigour / severity / severeness / rigorousness / rigourousness
rigor (n.)
the quality of being valid and rigorous;
Synonyms: cogency / validity / rigour
rigor (n.)
excessive sternness;
the rigors of boot camp
Synonyms: severity / severeness / harshness / rigour / rigorousness / rigourousness / inclemency / hardness / stiffness
From wordnet.princeton.edu