Spontaneous Lorentz symmetry-breaking constraints in Kalb–Ramond gravity
Abstract In this work, we study timelike and lightlike geodesics in Kalb–Ramond (KR) gravity around a black hole with the goal of constraining the Lorentz symmetry-breaking parameter l. The analysis involves studying the precession of the S2 star periastron orbiting Sgr A* and geodesic precession ar...
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13619-3 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832571357500538880 |
|---|---|
| author | Ednaldo L. B. Junior José Tarciso S. S. Junior Francisco S. N. Lobo Manuel E. Rodrigues Diego Rubiera-Garcia Luís F. Dias da Silva Henrique A. Vieira |
| author_facet | Ednaldo L. B. Junior José Tarciso S. S. Junior Francisco S. N. Lobo Manuel E. Rodrigues Diego Rubiera-Garcia Luís F. Dias da Silva Henrique A. Vieira |
| author_sort | Ednaldo L. B. Junior |
| collection | DOAJ |
| description | Abstract In this work, we study timelike and lightlike geodesics in Kalb–Ramond (KR) gravity around a black hole with the goal of constraining the Lorentz symmetry-breaking parameter l. The analysis involves studying the precession of the S2 star periastron orbiting Sgr A* and geodesic precession around the Earth. The ratio of precession frequencies for General Relativity (GR) and KR gravity is computed, with Event Horizon Telescope (EHT) results providing a parameter range for the spontaneous symmetry-breaking of $$-0.185022 \le l \le 0.060938$$ - 0.185022 ≤ l ≤ 0.060938 . Utilizing the geodesic precession frequency from the Gravity Probe B (GP-B), the l parameter is further constrained to $$-6.30714 \times 10^{-12} \le l \le 3.90708 \times 10^{-12}$$ - 6.30714 × 10 - 12 ≤ l ≤ 3.90708 × 10 - 12 , which is consistent with the Schwarzschild limits. Moreover, for timelike geodesics, the innermost circular orbit (ICO) and innermost stable circular orbit (ISCO) are determined and analyzed to illustrate the impact of the symmetry breaking term. Zoom-whirl obstructions are compared with the Schwarzschild solution. Lower and upper limits of the photon sphere for lightlike geodesics are established to demonstrate the influence of KR gravity on the photon sphere. Additionally, the shadow radius is determined for two observers, one situated at a finite distance from the KR black hole, and the other located at an infinite distance, to constrain the symmetry-breaking parameter l, with comparisons made to EHT results. The bounds for l derived from constraints on the photon sphere radius for lightlike geodesics yield $$-0.0700225 \le l \le 0.189785$$ - 0.0700225 ≤ l ≤ 0.189785 using EHT data. The findings of this paper align with experimental results in the $$l \rightarrow 0$$ l → 0 limit. |
| format | Article |
| id | doaj-art-1701cdc5297d489890874f59eb466310 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-1701cdc5297d489890874f59eb4663102025-02-02T12:39:18ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211210.1140/epjc/s10052-024-13619-3Spontaneous Lorentz symmetry-breaking constraints in Kalb–Ramond gravityEdnaldo L. B. Junior0José Tarciso S. S. Junior1Francisco S. N. Lobo2Manuel E. Rodrigues3Diego Rubiera-Garcia4Luís F. Dias da Silva5Henrique A. Vieira6Faculdade de Física, Universidade Federal do Pará, Campus Universitário de TucuruíFaculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do ParáInstituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de LisboaFaculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do ParáDepartamento de Física Téorica and IPARCOS, Universidad Complutense de MadridInstituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de LisboaFaculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do ParáAbstract In this work, we study timelike and lightlike geodesics in Kalb–Ramond (KR) gravity around a black hole with the goal of constraining the Lorentz symmetry-breaking parameter l. The analysis involves studying the precession of the S2 star periastron orbiting Sgr A* and geodesic precession around the Earth. The ratio of precession frequencies for General Relativity (GR) and KR gravity is computed, with Event Horizon Telescope (EHT) results providing a parameter range for the spontaneous symmetry-breaking of $$-0.185022 \le l \le 0.060938$$ - 0.185022 ≤ l ≤ 0.060938 . Utilizing the geodesic precession frequency from the Gravity Probe B (GP-B), the l parameter is further constrained to $$-6.30714 \times 10^{-12} \le l \le 3.90708 \times 10^{-12}$$ - 6.30714 × 10 - 12 ≤ l ≤ 3.90708 × 10 - 12 , which is consistent with the Schwarzschild limits. Moreover, for timelike geodesics, the innermost circular orbit (ICO) and innermost stable circular orbit (ISCO) are determined and analyzed to illustrate the impact of the symmetry breaking term. Zoom-whirl obstructions are compared with the Schwarzschild solution. Lower and upper limits of the photon sphere for lightlike geodesics are established to demonstrate the influence of KR gravity on the photon sphere. Additionally, the shadow radius is determined for two observers, one situated at a finite distance from the KR black hole, and the other located at an infinite distance, to constrain the symmetry-breaking parameter l, with comparisons made to EHT results. The bounds for l derived from constraints on the photon sphere radius for lightlike geodesics yield $$-0.0700225 \le l \le 0.189785$$ - 0.0700225 ≤ l ≤ 0.189785 using EHT data. The findings of this paper align with experimental results in the $$l \rightarrow 0$$ l → 0 limit.https://doi.org/10.1140/epjc/s10052-024-13619-3 |
| spellingShingle | Ednaldo L. B. Junior José Tarciso S. S. Junior Francisco S. N. Lobo Manuel E. Rodrigues Diego Rubiera-Garcia Luís F. Dias da Silva Henrique A. Vieira Spontaneous Lorentz symmetry-breaking constraints in Kalb–Ramond gravity European Physical Journal C: Particles and Fields |
| title | Spontaneous Lorentz symmetry-breaking constraints in Kalb–Ramond gravity |
| title_full | Spontaneous Lorentz symmetry-breaking constraints in Kalb–Ramond gravity |
| title_fullStr | Spontaneous Lorentz symmetry-breaking constraints in Kalb–Ramond gravity |
| title_full_unstemmed | Spontaneous Lorentz symmetry-breaking constraints in Kalb–Ramond gravity |
| title_short | Spontaneous Lorentz symmetry-breaking constraints in Kalb–Ramond gravity |
| title_sort | spontaneous lorentz symmetry breaking constraints in kalb ramond gravity |
| url | https://doi.org/10.1140/epjc/s10052-024-13619-3 |
| work_keys_str_mv | AT ednaldolbjunior spontaneouslorentzsymmetrybreakingconstraintsinkalbramondgravity AT josetarcisossjunior spontaneouslorentzsymmetrybreakingconstraintsinkalbramondgravity AT franciscosnlobo spontaneouslorentzsymmetrybreakingconstraintsinkalbramondgravity AT manuelerodrigues spontaneouslorentzsymmetrybreakingconstraintsinkalbramondgravity AT diegorubieragarcia spontaneouslorentzsymmetrybreakingconstraintsinkalbramondgravity AT luisfdiasdasilva spontaneouslorentzsymmetrybreakingconstraintsinkalbramondgravity AT henriqueavieira spontaneouslorentzsymmetrybreakingconstraintsinkalbramondgravity |