Consistency problems of conformal Killing gravity


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Altas E., TEKİN B.

Physical Review D, cilt.111, sa.6, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 111 Sayı: 6
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1103/physrevd.111.064083
  • Dergi Adı: Physical Review D
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, INSPEC, zbMATH, Nature Index
  • Abdullah Gül Üniversitesi Adresli: Hayır

Özet

We show that gravity field equations based on a tensor with rank greater than 2 have consistency problems in the sense that integration constants in the solutions, such as the parameter m in the Schwarzschild metric, do not allow for an interpretation in terms of conserved quantities in the theory. The recently introduced conformal Killing gravity, an interesting extension of general relativity that inherits all the solutions of the latter, and defined with a rank-3 tensor field equation that does not arise from a diffeomorphism-invariant action, is plagued with this problem. In this theory, it is not clear at all how one can define the energy and angular momentum for black hole solutions, or define the analogs of the formulas, such as the quadrupole formula, in the weak field limit for gravitational waves emitted by compact sources.