Semiclassical gravity in the far field limit of stars, black holes, and wormholes

Eric D. Carlson, Paul R. Anderson, Alessandro Fabbri, Serena Fagnocchi, William H. Hirsch, and Sarah A. Klyap
Phys. Rev. D 82, 124070 – Published 30 December 2010

Abstract

Semiclassical gravity is investigated in a large class of asymptotically flat, static, spherically symmetric spacetimes including those containing static stars, black holes, and wormholes. Specifically the stress-energy tensors of massless free spin 0 and spin 1/2 fields are computed to leading order in the asymptotic regions of these spacetimes. This is done for spin 0 fields in Schwarzschild spacetime using a WKB approximation. It is done numerically for the spin 1/2 field in Schwarzschild, extreme Reissner-Nordström, and various wormhole spacetimes. And it is done by finding analytic solutions to the leading order mode equations in a large class of asymptotically flat static spherically symmetric spacetimes. Agreement is shown between these various computational methods. It is found that, for all of the spacetimes considered, the energy density and pressure in the asymptotic region are proportional to r5 to leading order. Furthermore, for the spin 1/2 field and the conformally coupled scalar field, the stress-energy tensor depends only on the leading order geometry in the far field limit. This is also true for the minimally coupled scalar field for spacetimes containing either a static star or a black hole, but not for spacetimes containing a wormhole.

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  • Received 17 August 2010

DOI:https://doi.org/10.1103/PhysRevD.82.124070

© 2010 The American Physical Society

Authors & Affiliations

Eric D. Carlson1,*, Paul R. Anderson1,†, Alessandro Fabbri2,3,‡, Serena Fagnocchi4, William H. Hirsch1, and Sarah A. Klyap1

  • 1Department of Physics, Wake Forest University, Winston-Salem, North Carolina 27109, USA
  • 2Departamento de Física Teórica and IFIC, Universidad de Valencia-CSIC, Calle Dr. Moliner 50, Burjassot 46100, Valencia, Spain
  • 3APC (Astroparticules et Cosmologie), Université Paris 7 - Denis Diderot, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France
  • 4School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

  • *ecarlson@wfu.edu
  • anderson@wfu.edu
  • afabbri@ific.uv.es

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Vol. 82, Iss. 12 — 15 December 2010

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