Abstract
We investigate spherically symmetric solutions in string theory. Such solutions depend on three parameters, one of which corresponds to the asymptotic mass while the other two are the dilaton and two-form field amplitudes, respectively. If the two-form field amplitude is non-vanishing, then this solution represents a trajectory of a singular and null hypersurface. If the dilaton and two-form field amplitudes are non-vanishing but very close to zero, then the solution is asymptotically the same as the Schwarzschild solution, while only the near horizon geometry will be radically changed. If the dilaton field diverges toward the weak coupling regime, this demonstrates a firewall-like solution. If the dilaton field diverges toward the strong coupling limit, then as we consider quantum effects, this spacetime will emit too strong Hawking radiation to preserve semi-classical spacetime. However, if one considers a junction between the solution and the flat spacetime interior, this can allow a stable star-like solution with reasonable semi-classical properties. We discuss possible implications of these causal structures and connections with the information loss problem.
Highlights
In order to extend to the h > 0 limit, we consider a junction with a thin-shell [38] such that the outside is the stringy solution while the inside is Minkowski without a singularity nor a strong coupling limit
We revisited the singular solutions in string theory
Due to the non-trivial contributions of the dilaton field and the Kalb–Ramond field, the geometry is radically modified to a singularity near the Schwarzschild radius length scale
Summary
We comprehensively review the non-trivial solution which includes the dilaton field and the Kalb– Ramond field. Where φ is the dilaton field, and H = d B is the field strength tensor of the Kalb–Ramond field Bμν. Note that the physical meanings of a, b, and h are given by [34,35]. H represents the field value of the Kalb–Ramond field, where this two-form field becomes B(2) = h cos θ dt ∧ dφ. It is not easy to assign the direct physical meanings, but if a 1 and b, h 1, a can be interpreted as the ADM mass, where we will mainly consider this limit. More detailed interpretation of the conservative quantities is discussed in [34,35]
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