Compact objects in quadratic Palatini gravity generated by a free scalar field

Abstract

We study the correspondence that connects the space of solutions of General Relativity (GR) with that of Ricci-based Gravity theories (RBGs) of the $f(R,Q)$ type in the metric-affine formulation, where $Q=R_{(\mu \nu )}{R}^{(\mu \nu )}$. We focus on the case of scalar matter and show that when one considers a free massless scalar in the GR frame, important simplifications arise that allow to establish the correspondence for arbitrary $f(R,Q)$ Lagrangian. We particularize the analysis to a quadratic $f(R,Q)$ theory and use the spherically symmetric, static solution of Jannis-Newman-Winicour as seed to generate new compact objects in our target theory. We find that two different types of solutions emerge, one representing naked singularities and another corresponding to asymmetric wormholes with bounded curvature scalars everywhere. The latter solutions, nonetheless, are geodesically incomplete.

arXiv comment14 pages, 10 figures

References in corpus (56)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Viewing the Shadow of the Black Hole at the Galactic Center
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• Testing the nature of dark compact objects: a status report
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Kerr black holes with scalar hair
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Stable gravastars - an alternative to black holes?
• Light ring stability in ultra-compact objects
• Eddington's theory of gravity and its progeny
• Born-Infeld inspired modifications of gravity
• Kerr black holes with Proca hair
• Possible wormholes in a brane world
• Gravitational Condensate Stars: An Alternative to Black Holes
• Wormholes as Black Hole Foils
• Modified Gravity and Cosmology: An Update by the CANTATA Network
• Stationary black holes and light rings
• The Shadow of a Spherically Accreting Black Hole
• Detection of gravitational waves from black holes: Is there a window for alternative theories?
• Warp drive basics
• Shadows of Kerr black holes with and without scalar hair
• The Universality of Einstein Equations
• Palatini approach to Born-Infeld-Einstein theory and a geometric description of electrodynamics
• The imitation game: Proca stars that can mimic the Schwarzschild shadow
• Boson Stars: Alternatives to primordial black holes?
• Ghosts in metric-affine higher order curvature gravity
• Instabilities in Metric-Affine Theories of Gravity
• Black hole mimickers: regular versus singular behavior
• Photon rings of spherically symmetric black holes and robust tests of non-Kerr metrics
• Reissner-Nordström black holes in extended Palatini theories
• Mapping Ricci-based theories of gravity into general relativity
• Universality of Einstein Equations for the Ricci Squared Lagrangians
• Shadows and lensing of black holes immersed in strong magnetic fields
• Isotropic and Anisotropic Bouncing Cosmologies in Palatini Gravity
• Gravitational wave lensing beyond general relativity: birefringence, echoes and shadows
• Dynamical Aspects of Generalized Palatini Theories of Gravity
• Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
• A correspondence between modified gravity and General Relativity with scalar fields
• Ricci-Based Gravity theories and their impact on Maxwell and nonlinear electromagnetic models
• Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes
• New scalar compact objects in Ricci-based gravity theories
• Scalar absorption: Black holes versus wormholes
• Absorption by black hole remnants in metric-affine gravity
• Kerr black holes with synchronised axionic hair
• Scalar geons in Born-Infeld gravity
• Boson stars in Palatini $f(\mathcal{R})$ gravity
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker
• Anisotropic deformations in a class of projectively-invariant metric-affine theories of gravity

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