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

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

Mathematics, 2025, vol. 13, issue 19, 1-21

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.

Keywords: Teleparallel Robertson-Walker; Chaplygin gas; polytropic gas; teleparallel F ( T )-type solution; Polytropic and Chaplygin Conservation Laws; cosmological spacetimes; cosmological teleparallel solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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