TL;DR
This paper derives new exact solutions to Einstein's equations involving quintessence matter around black holes, classifies horizons, and discusses thermodynamic properties, extending known solutions to include quintessential effects.
Contribution
It introduces a condition of additivity and linearity in the energy-momentum tensor to obtain new solutions with quintessence around black holes, generalizing previous models.
Findings
Derived new static spherically symmetric solutions with quintessence
Classified horizons and calculated Gibbons-Hawking temperatures
Analyzed a specific case with w=-2/3
Abstract
We present new static spherically-symmetric exact solutions of Einstein equations with the quintessential matter surrounding a black hole charged or not as well as for the case without the black hole. A condition of additivity and linearity in the energy-momentum tensor is introduced, which allows one to get correct limits to the known solutions for the electromagnetic static field implying the relativistic relation between the energy density and pressure, as well as for the extraordinary case of cosmological constant, i.e. de Sitter space. We classify the horizons, which evidently reveal themselves in the static coordinates, and derive the Gibbons-Hawking temperatures. An example of quintessence with the state parameter w=-2/3 is discussed in detail.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.