Constraining the Lorentz-Violating Bumblebee Vector Field with Big Bang Nucleosynthesis and Gravitational Baryogenesis

Abstract

By keeping the cosmological principle i.e., an isotropic and homogeneous universe, we consider the cosmology of a vector-tensor theory of gravitation known as the \textit{bumblebee} model. In this model a single Lorentz-violating timelike vector field with a nonzero vacuum expectation value (VEV) couples to the Ricci tensor and scalar, as well. Taking the ansatz $B(t)\sim t^{\beta }$ for the time evolution of the vector field we derive the relevant dynamic equations of the Universe, where $\beta$ is a free parameter. In particular, by employing observational data coming from the Big Bang Nucleosynthesis (BBN) and the matter-antimatter asymmetry in the Baryogenesis era, we impose some constraints on the VEV of the bumblebee timelike vector field i.e., $\xi b^2$, and the exponent parameter $\beta$. The former and the latter limit the size of Lorentz violation, and the rate of the time evolution of the background Lorentz-violating bumblebee field, respectively.

18 pages (two columns), 8 figures.v2: discussion and analysis improved, some references and figures added, version accepted in EPJC

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Cited by in corpus (16)

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• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• Dark matter spike around Bumblebee black holes
• Exploring antisymmetric tensor effects on black hole shadows and quasinormal frequencies
• How does non-metricity affect particle creation and evaporation in bumblebee gravity?
• The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes
• Notes on thermodynamics of Schwarzschild-like bumblebee black hole
• Rotating Black Hole in Kalb-Ramond Gravity: Constraining Parameters by Comparison with EHT Observations of Sgr A* and M87*
• Antisymmetric tensor influence on charged black hole lensing phenomena and time delay
• Influence of plasma on the optical appearance of spinning black hole in Kalb-Ramond gravity and its Existence around M87* and Sgr A*
• Modified Kerr black holes surrounded by dark matter spike
• Big Bang Nucleosynthesis constraints on the cosmological evolution in a Universe with a Weylian Boundary
• Primordial gravitational waves from spontaneous Lorentz symmetry breaking
• Big Bang Nucleosynthesis constraints on space-time noncommutativity
• Accretion of matter of a new bumblebee black hole
• Primordial observables of explicit diffeomorphism violation in gravity