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our analysis, we set (Formula presented) (Formula presented)instead of the condition (27) in order to simplify the numerical calculations. This difference in (Formula presented) is recovered by rescaling the time coordinate as (Formula presented)
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In our analysis, we set (Formula presented) (Formula presented)instead of the condition (27) in order to simplify the numerical calculations. This difference in (Formula presented) is recovered by rescaling the time coordinate as (Formula presented).
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Since the value of the dilaton field (Formula presented) is not fixed up to a constant because the constant difference can be absorbed in the radial coordinate by rescaling, we can relax the condition (31). For example, we can assume that the dilaton field approaches to some unknown constant value (Formula presented) as (Formula presented). Introducing (Formula presented) defined by (Formula presented) and rescaling the variables as (Formula presented), (Formula presented), and (Formula presented), we find our boundary condition. However, in our numerical analysis, because we have fixed a charge of black hole in each branch, we have to search for the value of (Formula presented) by use of an iteration method such that (Formula presented) vanishes. Otherwise, (Formula presented) must be rescaled if (Formula presented), giving a different value of charge. Hence, (Formula presented) is not a free parameter but a shooting parameter in the electrically charged black hole case
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Since the value of the dilaton field (Formula presented) is not fixed up to a constant because the constant difference can be absorbed in the radial coordinate by rescaling, we can relax the condition (31). For example, we can assume that the dilaton field approaches to some unknown constant value (Formula presented) as (Formula presented). Introducing (Formula presented) defined by (Formula presented) and rescaling the variables as (Formula presented), (Formula presented), and (Formula presented), we find our boundary condition. However, in our numerical analysis, because we have fixed a charge of black hole in each branch, we have to search for the value of (Formula presented) by use of an iteration method such that (Formula presented) vanishes. Otherwise, (Formula presented) must be rescaled if (Formula presented), giving a different value of charge. Hence, (Formula presented) is not a free parameter but a shooting parameter in the electrically charged black hole case.
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70
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85038344233
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See Ref. 14
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See Ref. 14. They also calculated the scalar charge up to (Formula presented).
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