Bouncing cosmology from Kalb-Ramond braneworld

We consider a 3-brane embedded in a warped 5-dimensional background with a dilaton and a Kalb-Ramond 2-form. We show that it is possible to find static solutions of the form of the charged dS/AdS-like black hole with horizon which could have a negative mass parameter. The motion of the 3-brane in this bulk generates an effective 4-dimensional bouncing cosmology induced by the negative dark radiation term. This model avoids the instability that arises for the bouncing brane in a Reissner-Nordstrøm-AdS bulk.

Figure 1

The Hubble parameter $H$ as a function of the scale factor $a$. The three colors represent decreasing values of $\frac{R_{KR}}{{\ell }_4}$: 15.81 (red, dotted line), 1.41 (blue, dashed line), 0.70 (black, solid line).

Figure 2

Plot of $a_b$ as a function of the tension $\lambda$ for different values of $\frac{R_{KR}}{{\ell }_5}$: 0.5 (black, darker line), 0.02 (red, lighter line). Dashed curves of the same color represent the position of the horizons for the same value of $\frac{R_{KR}}{{\ell }_5}$. The case with 2 horizons is on the left, the case with one horizon is on the right.

Figure 3

Plot of the numerical solution of $a(t)$. The initial conditions used for the numerical integration are $a(t=-5)=125$, $\dot{a}(t=-5)=-125$.