Schwarzschild Metric Disturbed by the Accelerated Expansion of the Universe

  • Adrian Linares-RodríguezEmail author
  • Carlos R. Fadragas
  • Ailier Rivero-Acosta
Conference paper


The purpose of this work was to analyze the static spherically symmetric solution of the Einstein field equations for the case of a massive static spherical object surrounded with quintessential matter. A new approach was considered where the energy–momentum tensor was maintained null, and the effect of the quintessence (accelerated expansion of the Universe) was directly introduced by modifying the metric tensor. We deal the case of quintessence with the state parameter w = − 2/3. The results obtained are in correspondence with other approaches present in the bibliography; for instance, the studies carried out about the same problematic in Kiselev (Quintessence and black hole, 2002 [1]), where they got a new static spherically symmetric solution through the energy–momentum tensor for a black hole surrounded with quintessential matter.


Schwarzschild solution Kiselev black hole Accelerated expansion Quintessence Dark energy 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Universidad Central “Marta Abreu” de Las VillasVilla ClaraCuba

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