Next-to-leading term of the renormalized stress-energy tensor of the quantized massive scalar field in Schwarzschild spacetime. The back reaction

Abstract

The next-to-leading term of the renormalized stress-energy tensor of the quantized massive field with an arbitrary curvature coupling in the spacetime of the Schwarzschild black hole is constructed. It is achieved by functional differentiation of the DeWitt-Schwinger effective action involving coincidence limit of the Hadamard-Minakshisundaram-DeWitt-Seely coefficients $a_3$ and $a_4.$ The back reaction of the quantized field upon the Schwarzschild black hole is briefly discussed.

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• Twist decomposition of proton structure from BFKL and BK amplitudes
• Vacuum polarization of the quantized massive scalar field in Reissner-Nordström spacetime
• Semiclassical lukewarm black holes
• $Ad{S}_2\times S^2$ geometries and the extreme quantum-corrected black holes
• Stress-energy tensor of quantized massive fields in static wormhole spacetimes
• Lukewarm black holes in quadratic gravity