The paper investigates the stability of black strings and p-branes, which are low-energy solutions in string theory. The authors focus on the zero charge case and find that these solutions are unstable to perturbations in the extra dimensions for a range of time frequencies and wavelengths. These instabilities can be stabilized by compactifying the extra dimensions to a scale smaller than the minimum wavelength for which instability occurs, thus avoiding significant effects on large astrophysical black holes in four dimensions. The findings have implications for the Cosmic Censorship Hypothesis, suggesting that black strings and p-branes may not form from collapse due to their instability. The authors also discuss the potential consequences of these instabilities, including the possibility of black holes fragmenting and revealing naked singularities, which could violate the Cosmic Censorship Hypothesis.The paper investigates the stability of black strings and p-branes, which are low-energy solutions in string theory. The authors focus on the zero charge case and find that these solutions are unstable to perturbations in the extra dimensions for a range of time frequencies and wavelengths. These instabilities can be stabilized by compactifying the extra dimensions to a scale smaller than the minimum wavelength for which instability occurs, thus avoiding significant effects on large astrophysical black holes in four dimensions. The findings have implications for the Cosmic Censorship Hypothesis, suggesting that black strings and p-branes may not form from collapse due to their instability. The authors also discuss the potential consequences of these instabilities, including the possibility of black holes fragmenting and revealing naked singularities, which could violate the Cosmic Censorship Hypothesis.