On non-uniform black branes

By S. Gubser. 2001

193 citations recorded by the source corpus.

Certain black branes are unstable towards fluctuations that lead to non-uniform mass distributions. We study static, non-uniform solutions that differ only perturbatively from uniform ones. For uncharged black strings in five dimensions, we find evidence of a first-order transition from uniform to non-uniform solutions.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7d43c812277ae2d51b20951d955b18c05d8ea9c8

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Citations in the corpus

A new approach to static numerical relativity and its application to Kaluza–Klein black holes (2009, methodology): “We know from Gubser’s work [83] that for weakly non-uniform strings we have β > βGL.”
Mimicking the QCD equation of state with a dual black hole (2008, background): “Considerable work has been devoted to the question of what the endpoint of the evolution of the Gregory-Laflamme instability might be: see for example [26, 27, 28, 29, 30, 31].”
The phase transition between caged black holes and black strings (2004, methodology): “Here we are assuming the Gubser-Mitra Correlated Stability Conjecture [36, 37] to infer the perturbative stability or instability from the sign of the specific heat and the associated thermodynamic stability of the black holes.”
Numerical methods for finding stationary gravitational solutions (2015, background): “The importance of zero modes might best be illustrated by the Gregory-Laflamme system [74, 85–88, 96, 97, 113–136], which shares many features with other higher dimensional black holes.”
GRAVITATIONAL PERTURBATIONS OF HIGHER DIMENSIONAL ROTATING BLACK HOLES (2006, background): “This is indeed the case [46, 47] but the new solutions have too low an entropy to be the endpoint of the original instability, and seem likely to be unstable themselves.”
Black holes with scalar hair and asymptotics in N = 8 supergravity (2004, background): “More recently, a branch of non-uniform black string solutions emerging from the critical uniform string was constructed numerically, first in perturbation theory [6] and then non-perturbatively in [7].”
The Phase Structure of Higher-Dimensional Black Rings and Black Holes (2007, background): “Furthermore, it is known that the threshold mode of the GL instability gives rise to a new branch of static non-uniform black strings and branes [50, 33, 34].”
Essentials of blackfold dynamics (2009, background): “[26, 27] have shown that ‘lumpy’ black branes exist, branching off at the threshold of the Gregory-Laflamme (GL) instability [28].”
Static axisymmetric vacuum solutions and non-uniform black strings (2002, methodology): “ ! = −1.08λ¯2 (17) and similarly for the horizon volume, and thus entropy S, δS S +3 δK K ≃ λ¯2 B0(1)(0) +3C0(1)(0) + 1 4 (B1(0)(0) +3C1(0)(0))2 +3 k(1) k(0) ! = 4.55λ¯2 (18) Using the ﬁrst law as in [19], this allows us to calculate the diﬀerence in entropy between the deformed string and a uniform”
Holographic striped phases (2011, background): “Following an analogous discussion in [24], continuing to higher orders in the perturbative expansion we expect that the wavenumber will receive corrections at order λ(2).”
All supersymmetric solutions of minimal supergravity in five- dimensions (2002, background): “there is numerical evidence [ 3 , 4] that such solutions do exist.”
Black Holes in Higher Dimensions (2008, background): “Since the threshold mode of the GL instability gives rise to a new branch of static nonuniform black strings and branes [117, 120, 248], [81] argues that it is natural to conjecture the existence of new branches of axisymmetric ‘lumpy’ (or ‘pinched’) black holes, branching off from the MP solutions ”
Closed strings as imaginary D-branes (2003, unknown): “[42, 43, 44] for recent discussions).”
An instability of higher-dimensional rotating black holes (2010, background): “Perturbative [14] and numerical [38] work subsequently confirmed that this was correct.”
Topology change in general relativity, and the black-hole black-string transition (2002, methodology): “In a beautiful work, initiated by the hope of finding the stable non-uniform phase, Gubser concluded that the emanating phase is actually unstable [6].”