Static axisymmetric vacuum solutions and non-uniform black strings
By T. Wiseman. 2002
244 citations recorded by the source corpus.
We describe new numerical methods to solve the static axisymmetric vacuum Einstein equations in more than four dimensions. As an illustration, we study the compactified non-uniform black string phase connected to the uniform strings at the Gregory–Laflamme critical point. We compute solutions with a ratio of maximum to minimum horizon radius of up to nine. For a fixed compactification radius, the mass of these solutions is larger than the mass of the classically unstable uniform strings. Thus they cannot be the end state of the instability.
Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ff0b83cfaf66c045aba403c95ed519d119eff276
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Citations in the corpus
- All supersymmetric solutions of minimal supergravity in five- dimensions (2002, background): “there is numerical evidence [3, 4 ] that such solutions do exist.”
- An instability of higher-dimensional rotating black holes (2010, background): “Perturbative [14] and numerical [38] work subsequently confirmed that this was correct.”
- 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 ”
- 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].”
- 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].”
- 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].”
- A new approach to static numerical relativity and its application to Kaluza–Klein black holes (2009, background): “Numerical constructions of this branch can be found in [30, 39, 40].”
- 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.”
- The phase transition between caged black holes and black strings (2004, methodology): “The first simulation of the system was [39] which found the correct prescription for b.”
- 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].”
- Numerical methods for finding stationary gravitational solutions (2015, background): “This is the reason why the zero mode of black strings leads to one non-uniform branch [85, 118], while those of singly-spinning Myers Perry black holes lead to two [344, 349].”
- All supersymmetric solutions of minimal supergravity in five dimensions (2003, background): “There are no known exact solutions describing such objects but there is numerical evidence [3, 4] that such solutions do exist.”