Bulk versus Brane Emissivities of Photon Fields: For the case of Higher-Dimensional Schwarzschild Phase

Abstract

The emission spectra for the spin-1 photon fields are computed when the spacetime is a $(4+n)$-dimensional Schwarzschild phase. For the case of the bulk emission we compute the spectra for the vector mode and scalar mode separately. Although the emissivities for the scalar mode is larger than those for the vector mode when $n$ is small, the emissivities for the vector mode photon become dominant rapidly with increasing $n$. For the case of the brane emission the emission spectra are numerically computed by making use of the complex potential method. Comparision of the total bulk emissivities with total brane emissivities indicates that the effect of the field spin makes the bulk emission to be rapidly dominant with increasing $n$. However, the bulk-to-brane relative emissivity per degree of freedom always remains smaller than unity. The importance for the spin-2 graviton emission problem is discussed.

22 pages, 10 eps figures included in the text V2: mistyping is corrected in reference and text. one more reference is added. Table is updated. version to appear in NPB V3: REVTEX4 format (no change)

References in corpus (3)

• Graviton Emission in the Bulk from a Higher-Dimensional Schwarzschild Black Hole
• Emissivities for the various Graviton Modes in the Background of the Higher-Dimensional Black Hole
• Remark on the effective potential of the gravitational perturbation in the black hole background projected on the brane

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• Information Theoretical Approach to Detecting Quantum Gravitational Corrections
• Particle emission from a black hole on a tense codimension-2 brane