Ghosh and Mitra Reply:

Abstract

Ghosh and Mitra Reply: The Comment [1] criticizes its own Eq. (1). This equation was neither written nor used in [2].The technical observation made in [1] is that configurations with a 2 ϳ ͑r 2 r 1 ͒ 21 near the horizon ͑r ϳ r 1 ͒ and with extremal topology, i.e.,

Effectiveness of one-dimensional gas models for black holes

“…The problem of counting for these charged dilatonic black holes is that they usually have a singular BPS limit, in the sense that there is a curvature singularity at the horizon and the area of the horizon goes to zero in the extremal limit [14]. However, the thermodynamics of these black holes have been carried out in detail in the past [15,16]. Let us now provide a gas model counting of states for such black holes.…”

“…Let us take T R = 0 ⇒ E R = 0. So 16) where the superscript (0) stands for objects in the extremal case. Equations (4.16) give rise to…”

“…Let us now provide a gas model counting of states for such black holes. We will use the convention used in [17,16]. The generic black hole is (G = 1) The ADM mass and the charge are given by…”

Self-dual cosmic strings and gravitating vortices in gauged sigma models

“…However, due to the linear relation between the magnetic field and the electric charge density, a |Φ|-dependent magnetic energy density appears, which in flat space mimics exactly the Maxwellian energy density in the GMH system, as will be shown below. This sheds new light on the well-known self-dual solutions of the Chern-Simons gauged O(3) sigma model [34,35,36,37]. The self-dual solutions of the Chern-Simons type of the Abelian Higgs system [38,39], fit also to this framework by the obvious choice E 1 (|Φ|) = 1.…”

“…Some authors have already discussed the self-dual solutions in flat space for special cases of the potential, which from this point of view are just special values of β: β = 0 [34,36] and β = 1 [37]. This general form of the potential appeared already (in a different parametrization) in Ref.…”