p-brane dynamics in N+1-dimensional FRW universes
| dc.creator | Avelino, P. P. | |
| dc.creator | Menezes, R. | |
| dc.creator | Sousa, L. | |
| dc.date | 2008-11-10 | |
| dc.date.accessioned | 2026-07-07T12:51:22Z | |
| dc.date.available | 2026-07-07T12:51:22Z | |
| dc.description | We study the evolution of maximally symmetric $p$-branes with a $S_{p-i}\otimes \mathbbm{R}^i$ topology in flat expanding or collapsing homogeneous and isotropic universes with $N+1$ dimensions (with $N \ge 3$, $p < N$, $0 \le i < p$). We find the corresponding equations of motion and compute new analytical solutions for the trajectories in phase space. For a constant Hubble parameter, $H$, and $i=0$ we show that all initially static solutions with a physical radius below a certain critical value, $r_c^0$, are periodic while those with a larger initial radius become frozen in comoving coordinates at late times. We find a stationary solution with constant velocity and physical radius, $r_c$, and compute the root mean square velocity of the periodic $p$-brane solutions and the corresponding (average) equation of state of the $p$-brane gas. We also investigate the $p$-brane dynamics for $H \neq {\rm constant}$ in models where the evolution of the universe is driven by a perfect fluid with constant equation of state parameter, $w={\cal P}_p/ρ_p$, and show that a critical radius, $r_c$, can still be defined for $ -1 \le w < w_c$ with $w_c=(2-N)/N$. We further show that for $w \sim w_c$ the critical radius is given approximately by $r_c H \propto (w_c-w)^{γ_c}$ with $γ_c=-1/2$ ($r_c H \to \infty$ when $w \to w_c$). Finally, we discuss the impact that the large scale dynamics of the universe can have on the macroscopic evolution of very small loops. | |
| dc.description | 6 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0811.1580 | |
| dc.identifier | http://arxiv.org/abs/0811.1580 | |
| dc.identifier | Phys.Rev.D79:043519,2009 | |
| dc.identifier | doi:10.1103/PhysRevD.79.043519 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222968 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Astrophysics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | p-brane dynamics in N+1-dimensional FRW universes | |
| dc.type | text |