arXiv : String hole gas in $\alpha'$-corrected dilaton gravity

Quintin, Jerome; Gasperini, Maurizio; Brandenberger, Robert H.; Veneziano, Gabriele

doi:10.1103/PhysRevD.98.103519

Article
Report number	arXiv:1809.01658
Title	String hole gas in $\alpha'$-corrected dilaton gravity
Author(s)	Quintin, Jerome (McGill U.) ; Brandenberger, Robert H. (McGill U.) ; Gasperini, Maurizio (Bari U. ; INFN, Bari) ; Veneziano, Gabriele (College de France ; CERN)
Publication	2018-11-22
Imprint	2018-09-05
Number of pages	16
Note	17 pages, 2 figures. Replaced to match published version
In:	Phys. Rev. D 98 (2018) 103519
DOI	10.1103/PhysRevD.98.103519
Subject category	hep-ph ; Particle Physics - Phenomenology ; gr-qc ; General Relativity and Cosmology ; astro-ph.CO ; Astrophysics and Astronomy ; hep-th ; Particle Physics - Theory
Abstract	We discuss the properties of the gas of primordial `stringy' black holes possibly formed in the high-curvature phase preceding the bouncing transition to the phase of standard cosmological evolution. We show that the regime dominated by such a string-hole gas can be consistently described by explicit solutions of the string effective action including first-order $\alpha'$ corrections. We present a phase space analysis of the stability of such solutions comparing the results obtained from different actions and including the possibility of $O(d,d)$-symmetric configurations.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) Publication: © 2018-2024 authors

$Phase space trajectories for Meissner's action in a FLRW background with matter satisfying the continuity equation and $p=\sigma/2=0$ (and setting $k=1$, $\ell_\mathrm{s}=1$, and $d=3$). The red dot denotes the string-hole gas saddle point \eqref{eq:fixedpoint2}, the yellow dot denotes the repeller fixed point, and the black dot denotes the attractor (see the text). The two plots show different ranges in ${H}$ and $\dot\phi$. The left plot is a blowup of the right plot near the string-hole gas fixed point. Also in the left plot, the dashed gray curve depicts the curve $\dot\phi=dH$, along which the saddle point is unstable this time.$ $Phase space trajectories for Meissner's action in a FLRW background with matter satisfying the continuity equation and $p=\sigma/2=0$ (and setting $k=1$, $\ell_\mathrm{s}=1$, and $d=3$). The red dot denotes the string-hole gas saddle point \eqref{eq:fixedpoint2}, the yellow dot denotes the repeller fixed point, and the black dot denotes the attractor (see the text). The two plots show different ranges in ${H}$ and $\dot\phi$. The left plot is a blowup of the right plot near the string-hole gas fixed point. Also in the left plot, the dashed gray curve depicts the curve $\dot\phi=dH$, along which the saddle point is unstable this time.$ $Phase space trajectories for GMV's action in a FLRW background with matter satisfying the continuity equation and $p=\sigma/2=0$. Setting $k=1$, $\ell_\mathrm{s}=1$, and $d=3$, $\dot H$ and $\ddot\phi$ are computed from Eqs.~\eqref{eq:C1} and \eqref{eq:C2}, respectively. The red dot denotes the string-hole gas saddle point \eqref{eq:fixedpoint1}, and the black dot denotes the attractor fixed point of vacuum pre-Big Bang cosmology. The dashed gray curve depicts the line $\dot\phi=dH$, along which the saddle point is stable. The left and right plots show different ranges in ${H}$ and $\dot\phi$. The left plot is a blowup of the right plot near the two nontrivial fixed points. In the right plot, the green line shows an example of trajectory that starts near the trivial fixed point at ${H}=\dot\phi=0$ and goes to the attractor fixed point.$ Show more plots

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