Quantum metric fluctuations and Hawking radiation

Physical Review D

Volumn 63, Issue 4, 2001, Pages

  Parentani, R ^a  

^a UNIVERSITÉ DE TOURS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; COSMIC RADIATION; COSMOS; ENERGY; GRAVITY; QUANTUM MECHANICS; SOUND; SPACE; VACUUM;

EID: 0035081713     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.63.041503     Document Type: Article

References (22)

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13. dudv=Q is valid for all r only when working in the geometric optic approximation. In the exact d'Alembertian there is a potential around r=3A/ which induces partial reflection, a phenomenon irrelevant for our purposes.
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15. Recall that the Vaidya metric (2) is an exact solution of Einstein's equations for an arbitrary in-falling null flux. Let us also notice that a non-perturbative treatment of the self-interactions of <£ has been developed in [14]. It leads to small effects O(KlM).
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22. This approximation can also be expressed in terms of classes of Feynman diagrams. To sort them out it is useful to consider N copies of rf>+ . Then the semi-classical treatment consists in keeping all graphs which are weighted by powers of GN. Similarly, the quadratic approximation based on Eq. (13) consists in keeping graphs weighted by powers of G2N.