Modified gravity with a square root function of curvature

Key Points

• This research aims to analyze an f(R) gravity model defined by a square-root function of curvature and its implications for inflation and matter stability.
• Develop a square-root form of the gravitational Lagrangian.
• Calculate constant-curvature solutions and derive scalar-field potential and scalaron mass.
• Evaluate slow-roll parameters and number of e-folds for inflationary dynamics.
• Proposed f(R) gravity model fulfills local gravitational test constraints and avoids matter instabilities.
• The model provides stable scalar-field potential solutions in the Einstein frame.
• Analysis of inflationary dynamics shows viable slow-roll parameters and expected number of e-folds.