Kerr-Vaidya type radiating black holes in semiclassical gravity with conformal anomaly

Gürses, Metin
Tekin, Bayram
Static black holes in the conformal anomaly-sourced semiclassical general relativity in four dimensions were recently extended to rotating, stationary solutions. These quantum-corrected black holes show different features compared to the Kerr black hole and need for further extensions. Here we remove the condition of stationarity and find radiating (Kerr-Vaidya-type) solutions in the same theory augmented with a cosmological constant. As long as the coupling constant α of the A-type trace anomaly is nonzero, we show that (i) the cosmological constant is bounded from above, i.e., Λ≤34α; (ii) static black holes exist but they may not be unique; (iii) static black holes do not satisfy the second law of black hole thermodynamics; (iv) static black holes may have unstable inner horizons; (v) in the nonstationary and axially symmetric case, stability of the event horizon and the second law of thermodynamics black holes are problematic.
Physical Review D
Citation Formats
M. Gürses and B. Tekin, “Kerr-Vaidya type radiating black holes in semiclassical gravity with conformal anomaly,” Physical Review D, vol. 109, no. 2, pp. 0–0, 2024, Accessed: 00, 2024. [Online]. Available: