Generalized Brans-Dicke theory from Verlinde's entropic gravity


KİBAROĞLU S., Senay M.

Nuclear Physics B, cilt.1017, 2025 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1017
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1016/j.nuclphysb.2025.116974
  • Dergi Adı: Nuclear Physics B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH, Directory of Open Access Journals
  • Maltepe Üniversitesi Adresli: Evet

Özet

In this work, we develop a q-deformed scalar-tensor theory of gravitation by combining Verlinde's entropic gravity paradigm with statistical deformation effects. The resulting model modifies the Brans-Dicke framework through a deformation function, treated as a constant rescaling factor for the effective gravitational coupling. We derive the corresponding q-deformed field equations and analyze their theoretical consistency including the recovery of standard gravitational models in specific limits. While the present formulation preserves key symmetries and provides a generalized description of gravitational dynamics, it does not yield a significant deviation from Brans-Dicke theory. The study concludes with prospects for future research, including the exploration of cosmological solutions arising from the q-deformed field equations.