Naked Singularity in a Modified Gravity Theory

Abstract

The cosmological constant induced by quantum fluctuation of the graviton on a given background is considered as a tool for building a spectrum of different geometries. In particular, we apply the method to the Schwarzschild background with positive and negative mass parameter. In this way, we put on the same level of comparison the related naked singularity (-M) and the positive mass wormhole. We discuss how to extract information in the context of a f(R) theory. We use the Wheeler-De Witt equation as a basic equation to perform such an analysis regarded as a Sturm-Liouville problem . The application of the same procedure used for the ordinary theory, namely f(R)=R, reveals that to this approximation level, it is not possible to classify the Schwarzschild and its naked partner into a geometry spectrum.

8 Pages. Contribution given to DICE 2008. To appear in the proceedings

References in corpus (25)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Cosmological Results from High-z Supernovae
• New Developments in the Casimir Effect
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• One-loop f(R) gravity in de Sitter universe
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• A Preliminary Indication of Evolution of Type Ia Supernovae from their Risetimes
• Gauge Dependence of the Effective Average Action in Einstein Gravity
• f(R) gravity: successes and challenges
• The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint
• On the stability of naked singularities
• Instability of the negative mass Schwarzschild naked singularity
• Instability of charged and rotating naked singularities
• Gravitational instabilities in Kerr space-times
• Variational Principles and Cosmological Models in Higher-Order Gravity
• The Cosmological Constant as an Eigenvalue of a Sturm-Liouville Problem and its Renormalization
• Another possible interpretation of SN 1a data - without kinematics: Comments on the paper astro-ph/0402512 by A. Riess et al
• The induced Cosmological Constant as a tool for exploring geometries

Cited by in corpus (6)

• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity
• Gravitational Collapse in Rastall Gravity
• Naked Singularities are not Singular in Distorted Gravity
• Dynamical Instability of Spherical Anisotropic Sources in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Stability of a Class of Non-Static Axial Self-Gravitating Systems in $f(R)$ Gravity