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24 June 2024
 
  » arxiv » 2302.00373

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Scalar fluid in scalar-tensor gravity from equivalent picture of thermodynamic and fluid descriptions of gravitational dynamics
Abhinove Nagarajan Seenivasan ; Sayan Chakrabarti ; Bibhas Ranjan Majhi ;
Date 1 Feb 2023
AbstractWe revisit the thermodynamic description of fluid, represented by scalar field in scalar-tensor gravity theory, through Eckart’s formalism. In order to identify the fluid energy-momentum tensor, contrary to the existing way, we use equivalent description of gravitational dynamics both in Jordan and Einstein frames as thermodynamical identity and fluid equation on a generic null surface. Such an approach provides the energy-momentum tensors for scalar fluid as that of an ideal fluid in both the frames. We then mention few issues in the existing way of using Eckart’s formalism for an ideal fluid. Our investigation suggests that the Eckart’s frame may not be suitable to consider ideal fluid. Consequently a possible alternative description, valid in other than Eckart’s frame, is being suggested for a general ideal fluid. Based on this we obtain a unified thermodynamic description in both Jordan and Einstein frames from our identified energy-momentum tensors. Finally, the relations between thermodynamic entities on different frames are being put forwarded. Thus, the description in either of the frames is enough to provide the complete picture.
Source arXiv, 2302.00373
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