Classical dynamics of strings and branes, with application to vortons

Carter, Brandon

doi:10.48550/arxiv.1112.2094

Cited by 2 publications

(4 citation statements)

References 34 publications

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“…Let us also mention that, recently these solutions have been constructed independently in [20]. Although the results there have been found by using a very different approach 14 as compared to the one described above, they agree well with those reported in [18]. Figure 9.…”

Section: The Blackfold Limitsupporting

confidence: 81%

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Black ringoids: spinning balanced black objects in d ≥ 5 dimensions — the codimension-two case

Kleihaus

Kunz

Radu

2015

J. High Energ. Phys.

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We propose a general framework for the study of asymptotically flat black objects with k + 1 equal magnitude angular momenta in d ≥ 5 spacetime dimensions (with2 ). In this approach, the dependence on all angular coordinates but one is factorized, which leads to a codimension-two problem. This framework can describe black holes with spherical horizon topology, the simplest solutions corresponding to a class of Myers-Perry black holes. A different set of solutions describes balanced black objects with S n+1 × S 2k+1 horizon topology. The simplest members of this family are the black rings (k = 0). The solutions with k > 0 are dubbed black ringoids. Based on the nonperturbative numerical results found for several values of (n, k), we propose a general picture for the properties and the phase diagram of these solutions and the associated black holes with spherical horizon topology: n = 1 black ringoids repeat the k = 0 pattern of black rings and MyersPerry black holes in 5 dimensions, whereas n > 1 black ringoids follow the pattern of higher dimensional black rings associated with 'pinched' black holes and Myers-Perry black holes.

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Section: The Blackfold Limitsupporting

confidence: 81%

“…This approach is an extension of the theory of classical brane dynamics originally developed by Carter to provide an effective description of some field theory solitons in flat space (see e.g. the recent review[14]). …”

mentioning

confidence: 99%

Black ringoids: spinning balanced black objects in d ≥ 5 dimensions — the codimension-two case

Kleihaus

Kunz

Radu

2015

J. High Energ. Phys.

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“…In this section, we use a variational approach to re-derive the equations of motion of an elastic string, for the reader's convenience and also to fix notation (see [76,32,53,24,25,3,26] for similar or related derivations). These equations are then shown to be equivalent to the conservation of an energy-momentum tensor defined on the worldsheet plus the vanishing of the contraction between the energy-momentum tensor and the extrinsic curvatures of the worldsheet (dubbed generalized sail equations in [29]).…”

Section: Elastic String Theorymentioning

confidence: 99%

“…In the case of string loops we take the coordinate x 1 (which extends λ) to be periodic 5. These equations occur for other extended objects such as branes[24,25,26] and blackfolds[34].…”

mentioning

confidence: 99%

Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process

Natário¹,

Queimada²,

Vicente³

2018

Class. Quantum Grav.

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We rederive the equations of motion for relativistic strings, that is, one-dimensional elastic bodies whose internal energy depends only on their stretching, and use them to study circular string loops rotating in the equatorial plane of flat and black hole spacetimes. We start by obtaining the conditions for equilibrium, and find that: (i) if the string's longitudinal speed of sound does not exceed the speed of light then its radius when rotating in Minkowski's spacetime is always larger than its radius when at rest; (ii) in Minkowski's spacetime, equilibria are linearly stable for rotation speeds below a certain threshold, higher than the string's longitudinal speed of sound, and linearly unstable for some rotation speeds above it; (iii) equilibria are always linearly unstable in Schwarzschild's spacetime. Moreover, we study interactions of a rotating string loop with a Kerr black hole, namely in the context of the weak cosmic censorship conjecture and the Penrose process. We find that: (i) elastic string loops that satisfy the null energy condition cannot overspin extremal black holes; (ii) elastic string loops that satisfy the dominant energy condition cannot increase the maximum efficiency of the usual particle Penrose process; (iii) if the dominant energy condition (but not the weak energy condition) is violated then the efficiency can be increased. This last result hints at the interesting possibility that the dominant energy condition may underlie the well known upper bounds for the efficiencies of energy extraction processes (including, for example, superradiance).

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Classical dynamics of strings and branes, with application to vortons

Cited by 2 publications

References 34 publications

Black ringoids: spinning balanced black objects in d ≥ 5 dimensions — the codimension-two case

Black ringoids: spinning balanced black objects in d ≥ 5 dimensions — the codimension-two case

Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process

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