Resistance of a rotating-moving brane with background fields against collapse

Using the boundary state formalism we investigate the effect of tachyon condensation process on a rotating and moving Dp-brane with various background fields in the bosonic string theory. The rotation and motion are inside the brane volume. We demonstrate that some specific rotations and/or motions can preserve the brane from instability and collapse. •We construct the boundary state corresponding to a dynamical Dp-brane.•The brane moves and rotates within its volume.•There are various background fields on the brane.•We study effect of tachyon condensation on a rotating-moving Dp-brane.•Some specific rotations and/or motions can preserve the brane from instability.