[The Hawking effect for the Dirac field]
We consider the gravitational collapse of the charged star leading to a black-hole. We prove that a fixed observer in Schwarzschild variables observes, at the last moments of the collapse in his own proper time, an outgoing thermal flux of spin 1/2 particles containing preferentially the particles with the same charge that the black-hole. This is the Hawking effect.
Nous considérons l'effondrement gravitationnel d'une étoile chargée en un trou-noir. Nous montrons qu'un observateur fixe en variables de Schwarzschild observe, aux derniers temps de l'effondrement dans son temps propre, un flux thermal sortant de particules de spin 1/2 contenant préférentiellement des particules dont la charge est la même que celle du trou-noir. Ce résultat est connu sous le nom d'effet Hawking.
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Fabrice Melnyk 1
@article{CRMATH_2002__335_7_643_0, author = {Fabrice Melnyk}, title = {L'effet {Hawking} pour un champ de {Dirac}}, journal = {Comptes Rendus. Math\'ematique}, pages = {643--648}, publisher = {Elsevier}, volume = {335}, number = {7}, year = {2002}, doi = {10.1016/S1631-073X(02)02532-3}, language = {fr}, }
Fabrice Melnyk. L'effet Hawking pour un champ de Dirac. Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 643-648. doi : 10.1016/S1631-073X(02)02532-3. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02532-3/
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