How do people respond to auditory warning signals?
Often, very similar phenomena have different names when studied in different modalities, because they are studied by different communities. That's why searching for perception response times + auditory doesn't yield great results (Although I did find [1] this way).

Something else to try, is to pick a highly cited paper that you did find, and then search within paper citing it for relevant terms. I started from Olson's 2000 paper which you mentioned, and searched for "auditory" within citing papers, and quickly found [2] and [3]. 

You can also look for other papers by the same authors - people tend to keep studying similar questions for a while, and often keep using the same methodologies.



[1] Cheng, B., Hashimoto, M., &amp; Suetomi, T. (2002). Analysis of driver response to collision warning during car following. JSAE review, 23(2), 231-237.

[2] Fitch, G. M., Blanco, M., Morgan, J. F., &amp; Wharton, A. E. (2010, September). Driver braking performance to surprise and expected events. In Proceedings of the Human Factors and Ergonomics Society Annual Meeting (Vol. 54, No. 24, pp. 2075-2080). SAGE Publications.

[3] Cao, Y., Mahr, A., Castronovo, S., Theune, M., Stahl, C., &amp; Müller, C. A. (2010, February). Local danger warnings for drivers: The effect of modality and level of assistance on driver reaction. In Proceedings of the 15th international conference on Intelligent user interfaces (pp. 239-248). ACM.