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Spinning Black Holes in (2+1)-dimensional String and Dilaton Gravity
General Relativity and Quantum Cosmology · Submitted 31 Oct 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We present a new class of spinning black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton with potential $e^{b\phi}\Lambda$.
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The abstract, sentence by sentence
We present a new class of spinning black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton with potential $e^{b\phi}\Lambda$. When $b=4$, the corresponding spinning black hole is a solution of low energy $(2+1)$-dimensional string gravity. Apart from the limiting case of the $BTZ$ black hole, these spinning black holes have no inner horizon and a curvature singularity only at the origin. We compute the mass and angular momentum parameters of the solutions at spatial infinity, as well as their temperature and entropy.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a new class of spinning black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton with potential $e^{b\phi}\Lambda$. | contribution 1.00 | 0.94 | 0.54 | asserted 1.00 |
| s1 | When $b=4$, the corresponding spinning black hole is a solution of low energy $(2+1)$-dimensional string gravity. | result 0.50 | 0.43 | 0.13 | asserted 1.00 |
| s2 | Apart from the limiting case of the $BTZ$ black hole, these spinning black holes have no inner horizon and a curvature singularity only at the origin. | result 1.00 | 0.74 | 0.28 | asserted 1.00 |
| s3 | We compute the mass and angular momentum parameters of the solutions at spatial infinity, as well as their temperature and entropy. | result 0.51 | 0.96 | 0.11 | asserted 1.00 |
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The paper
Original abstract
We present a new class of spinning black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton with potential $e^{b\phi}\Lambda$. When $b=4$, the corresponding spinning black hole is a solution of low energy $(2+1)$-dimensional string gravity. Apart from the limiting case of the $BTZ$ black hole, these spinning black holes have no inner horizon and a curvature singularity only at the origin. We compute the mass and angular momentum parameters of the solutions at spatial infinity, as well as their temperature and entropy.
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References
How the literature uses it
6 arXiv papers cite this in 14 sentences
Papers citing it · 7 sentences without a confident label
Builds on it 1 paper
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This work can be considered as a generalization of [ref] .
Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory · Introduction · 1.00
Uses its method or tool 2 papers
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With Killing vector $ξ̅^μ=δ^μ_t$, [ref] leads to the following mass expression for the leading order solution [ref] [equation] where, similar to the quasi-local mass of BTZ black holes calculated in [ref] , $ε=K-ε_0$ in which $ε_0$ denoting the zero of the energy, is a function of background metric and [equation] Then, the conserved mass is provided by [equation] in which $F_0(r)$ and $W(r)$ are given by [ref] and [ref], respectively, and $F_00(r)$ and $W_0(r)$ are the background metric functions, given by [equation] Accordingly, [ref] yields the mass [equation]
Regular $(2+1)$-dimensional spatially homogeneous $\alpha'$-corrected BTZ-like black hole in string theory · Appendix A · 0.93
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For $c_1=A^4 (c_2+Λ)^2, c_3 = -A^2 (c_2+Λ)$, where $Λ$ is an effective cosmological constant, we rewrite the asymptotic expressions of the metric functions at large distances [equation] To compute the mass of the black hole, we will use the quasi-local method [ref] .
Black Holes with Scalar Hair in Three Dimensions · Static Black Hole Solutions · 0.97
Compares with it 1 paper
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Nevertheless, it is worth noting that in [ref] , the uncharged rotating solution in $(2+1)$-dimensional EMD theory does not satisfy the $dJ$ term of the first law either, i.e. $∂M/∂J≠Ω$, where $J$ is not a parameter of the theory.
Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory · Themrodynamics and Conserved Charges · 0.83
Cites it as background 2 papers
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In [ref] , static black holes in three-dimensional dilaton gravity and modifications of the BTZ black hole by a dilaton scalar were investigated, the dilaton case attracting more attention over the years [ref] .
Black Holes with Scalar Hair in Three Dimensions · Introduction · 1.00
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Exact bulk solutions in the presence of an exponential potential have been explored in numerous works [ref] .
Holographic torus correlators in $\text{AdS}_3$ gravity coupled to scalar field · Conclusions and perspectives · 0.97
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