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Unformatted text preview: dr ( * ) with T φ ' -˙ M r j =-˙ M r r 2 Ω to obtain at r min T ± ' 500 K T NS ' 2 · 10 6 K T BH ' 5 · 10 4 K For the total power either integrate the diﬀerential power spectrum L ν over all frequencies or directly use the Stefan-Boltzmann law multiplied with the surface area A L ' A b SB T 4 eff = Z ∞ r min dr 2 π r b SB T 4 eff ≈ π r 2 min b SB T 4 eff where the last step corresponds to a very rough approximation. Better is to work out the r-dependence of T 4 eff via Eq.* and to solve the integral over radius. The very rough estimate would yield L ± = 4 · 10 30 erg / sec L NS = 3 · 10 35 erg / sec L BH = 10 44 erg / sec...
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