A Action for quintessence

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Kislev developed a black hole metric within the quintessence field by analyzing the energy-momentum tensor, specifically using the condition $T^t_t=T^r_r$. The discussion revolves around whether there exists an action for the quintessence field that results in this energy-momentum tensor when varied with respect to the metric tensor $g^{\mu \nu}$. Participants are seeking a specific reference to Kislev's work for further examination. The inquiry highlights the relationship between quintessence and black hole metrics in theoretical physics. This exploration aims to deepen understanding of the implications of quintessence in cosmological models.
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Kislev developed black hole metric in quintessence field by considering $T^t_t=T^r_r$ for energy momentum tesor corresponding to quintessence. Is there any action for the quintessence fild that gives such energy momentum tensor after varying with respect to $g^{\mu \nu}$?
 
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djymndl07 said:
Kislev developed black hole metric in quintessence field...
Can you please cite the specific Kislev reference so we can take a look?
 
renormalize said:
Can you please cite the specific Kislev reference so we can take a look?
Sure. Please see This paper for reference.
 
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