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Chaplygin and Polytropic Gases Teleparallel Robertson-Walker F ( T ) Gravity Solutions

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  • Alexandre Landry

    (Department of Mathematics and Statistics, Dalhousie University, Halifax, NS B3H 3J5, Canada)

Abstract

This paper investigates the teleparallel Robertson–Walker (TRW) F ( T ) gravity solutions for a Chaplygin gas, and then for any polytropic gas cosmological source. We use the TRW F ( T ) gravity field equations (FEs) for each k -parameter value case and the relevant gas equation of state (EoS) to find the new teleparallel F ( T ) solutions. For flat k = 0 cosmological case, we find analytical solutions valid for any cosmological scale factor. For curved k = ± 1 cosmological cases, we find new approximated teleparallel F ( T ) solutions for slow, linear, fast and very fast universe expansion cases summarizing by a double power-law function. All the new solutions will be relevant for future cosmological applications on dark matter, dark energy (DE) quintessence, phantom energy, Anti-deSitter (AdS) spacetimes and several other cosmological processes.

Suggested Citation

  • Alexandre Landry, 2025. "Chaplygin and Polytropic Gases Teleparallel Robertson-Walker F ( T ) Gravity Solutions," Mathematics, MDPI, vol. 13(19), pages 1-21, October.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:19:p:3143-:d:1762897
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