A review on recent results of the ζ - function regular - ization procedure in curved spacetime
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چکیده
1.1 Preliminaries. Let (L, gL μν) be a Lorentzian manifold which is supposed to be globally hyperbolic. This manifold is said (locally) static whenever it admits a (local) time-like Killing vector ∂t normal to a Cauchy surface Σ. In other words, the manifold admits a (local) coordinate frame (x0, x1, x2, x3) ≡ (t, ~x), where g0i = 0 (i = 1, 2, 3) and ∂tgμν = 0. Let us consider a real scalar field φ propagating in L, its evolution equation can be written down
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2 2 Fe b 19 99 preprint - A review on recent results of the ζ - function regular - ization procedure in curved spacetime
1.1 Preliminaries. Let (L, gL μν) be a Lorentzian manifold which is supposed to be globally hyperbolic. This manifold is said (locally) static whenever it admits a (local) time-like Killing vector ∂t normal to a Cauchy surface Σ. In other words, the manifold admits a (local) coordinate frame (x0, x1, x2, x3) ≡ (t, ~x), where g0i = 0 (i = 1, 2, 3) and ∂tgμν = 0. Let us consider a real scalar fie...
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