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Dilaton gravity, charged dust, and (quasi-) black holes
General Relativity and Quantum Cosmology · Submitted 23 May 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is found, in particular, that asymptotically flat BHs and QBHs can exist with positive energy densities of matter and both scalar and electromagnetic fields.
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The abstract, sentence by sentence
We consider Einstein-Maxwell-dilaton gravity with charged dust and interaction of the form $P(\chi) F_{\mu\nu} F^{\mu\nu}$, where $P(\chi)$ is an arbitrary function of the dilaton field $\chi$ that can be normal or phantom. For any regular $P(\chi)$, static configurations are possible with arbitrary functions $g_{00} = \exp(2\gamma(x^i))$ ($i=1,2,3$) and $\chi = \chi(\gamma)$, without any assumption of spatial symmetry. The classical Majumdar-Papapetrou system is restored by putting $\chi =$ const. Among possible solutions are black-hole (BH) and quasi-black-hole (QBH) ones. Some general results on BH and QBH properties are deduced and confirmed by examples. It is found, in particular, that asymptotically flat BHs and QBHs can exist with positive energy densities of matter and both scalar and electromagnetic fields.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider Einstein-Maxwell-dilaton gravity with charged dust and interaction of the form $P(\chi) F_{\mu\nu} F^{\mu\nu}$, where $P(\chi)$ is an arbitrary function of the dilaton field $\chi$ that can be normal or phantom. | contribution 0.46 | 0.47 | 0.06 | asserted 0.91 |
| s1 | For any regular $P(\chi)$, static configurations are possible with arbitrary functions $g_{00} = \exp(2\gamma(x^i))$ ($i=1,2,3$) and $\chi = \chi(\gamma)$, without any assumption of spatial symmetry. | result 0.98 | 0.84 | 0.30 | hedged possibility 0.67 |
| s2 | The classical Majumdar-Papapetrou system is restored by putting $\chi =$ const. | result 0.58 | 0.33 | 0.07 | asserted 1.00 |
| s3 | Among possible solutions are black-hole (BH) and quasi-black-hole (QBH) ones. | result 0.78 | 0.56 | 0.15 | asserted 0.69 |
| s4 | Some general results on BH and QBH properties are deduced and confirmed by examples. | contribution 0.85 | 0.94 | 0.12 | asserted 1.00 |
| s5 | It is found, in particular, that asymptotically flat BHs and QBHs can exist with positive energy densities of matter and both scalar and electromagnetic fields. | result 1.00 | 0.94 | 0.44 | asserted 0.83 |
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The paper
Original abstract
We consider Einstein-Maxwell-dilaton gravity with charged dust and interaction of the form $P(\chi) F_{\mu\nu} F^{\mu\nu}$, where $P(\chi)$ is an arbitrary function of the dilaton field $\chi$ that can be normal or phantom. For any regular $P(\chi)$, static configurations are possible with arbitrary functions $g_{00} = \exp(2\gamma(x^i))$ ($i=1,2,3$) and $\chi = \chi(\gamma)$, without any assumption of spatial symmetry. The classical Majumdar-Papapetrou system is restored by putting $\chi =$ const. Among possible solutions are black-hole (BH) and quasi-black-hole (QBH) ones. Some general results on BH and QBH properties are deduced and confirmed by examples. It is found, in particular, that asymptotically flat BHs and QBHs can exist with positive energy densities of matter and both scalar and electromagnetic fields.
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2 arXiv papers cite this in 5 sentences
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This generalizes a similar relation (2.12) from [ref] , written there for vacuum EMD systems with $P(χ) ∼^2λχ$.
Phantom Black Holes and Sigma Models · Introduction · 0.83
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