No-Go Theorem for Horizon-Shielded Self-Tuning Singularities

Abstract

We derive a simple no-go theorem relating to self-tuning solutions to the cosmological constant for observers on a brane, which rely on a singularity in an extra dimension. The theorem shows that it is impossible to shield the singularity from the brane by a horizon, unless the positive energy condition (rho+p >= 0) is violated in the bulk or on the brane. The result holds regardless of the kinds of fields which are introduced in the bulk or on the brane, whether Z_2 symmetry is imposed at the brane, or whether higher derivative terms of the Gauss-Bonnet form are added to the gravitational part of the action. However, the no-go theorem can be evaded if the three-brane has spatial curvature. We discuss explicit realizations of such solutions which have both self-tuning and a horizon shielding the singularity.

7 pages, 4 figures, revtex; added reference and minor corrections

References in corpus (7)

• Holography and Phenomenology
• Gravitational Lorentz Violations and Adjustment of the Cosmological Constant in Asymmetrically Warped Spacetimes
• Randall-Sundrum II Cosmology, AdS/CFT, and the Bulk Black Hole
• Consistency Conditions for Brane Worlds in Arbitrary Dimensions
• Brane World Sum Rules
• Branes on Charged Dilatonic Backgrounds: Self-Tuning, Lorentz Violations and Cosmology
• The Cosmological Constant Problem in Brane--Worlds and Gravitational Lorentz Violations

Cited by in corpus (39)

• Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity
• Selftuning and its footprints
• Covariant Gravitational Equations on Brane World with Gauss-Bonnet term
• Supersymmetric Large Extra Dimensions and the Cosmological Constant: An Update
• Avoidance of Naked Singularities in Dilatonic Brane World Scenarios with a Gauss-Bonnet Term
• Codimension-two branes in six-dimensional supergravity and the cosmological constant problem
• The cosmological constant and dark energy in braneworlds
• Bulk Singularities and the Effective Cosmological Constant for Higher Co-dimension Branes
• On Existence of Self-Tuning Solutions in Static Braneworlds without Singularities
• UV Caps and Modulus Stabilization for 6D Gauged Chiral Supergravity
• Scaling Solutions to 6D Gauged Chiral Supergravity
• Nonlinear multidimensional cosmological models with form fields: stabilization of extra dimensions and the cosmological constant problem
• Asymmetrically warped compactifications and gravitational Lorentz violation
• Kicking the Rugby Ball: Perturbations of 6D Gauged Chiral Supergravity
• Accelerated Expansion of the Universe in Gauss-Bonnet Gravity
• Superluminal neutrinos and extra dimensions: constraints from the null energy condition
• Cosmological constant and late transient acceleration of the universe in the Horava-Witten Heterotic M-Theory on S^{1}/Z_{2}
• Oxidised cosmic acceleration
• Schwarzschild Black Branes and Strings in higher-dimensional Brane Worlds
• The Covariant Entropy Bound, Brane Cosmology, and the Null Energy Condition
• Towards a Higgs phase of gravity in string theory
• Running with Rugby Balls: Bulk Renormalization of Codimension-2 Branes
• Time warps
• The cosmological constant in the brane world of string theory on $S^1/Z_2$
• Bulk photons in Asymmetrically Warped Space-times and Non-trivial Vacuum Refractive Index
• Phantom-like effects in asymmetric brane embedding with induced gravity and the Gauss-Bonnet term in the Bulk
• Asymmetrically Warped Brane Models, Bulk Photons and Lorentz Invariance
• Late transient acceleration of the universe in string theory on $S^1/Z_2$
• Lorentz violation effects in asymmetric two brane models: a nonperturbative analysis
• Self-tuning of the cosmological constant in brane-worlds with $P(X,\varphi )$
• Brane cosmology in the Horava-Witten heterotic M-Theory on $S^1/Z_2$
• The hierarchy problem, radion mass, localization of gravity and 4D effective Newtonian potential in string theory on $S^1/Z_2$
• General self-tuning solutions and no-go theorem
• Self-T-Dual Brane Cosmology and the Cosmological Constant Problem
• Colliding branes and formation of spacetime singularities in string theory
• Quest for a Self-Tuning Brane-World Solution to the Cosmological Constant Problem
• Orbifold Branes in the $M_D\times M_{d^{+}}\times M_{d^{-}}$ Compactification of type II string on $S^1/Z_2$ and their cosmological applications
• Brane world models with bulk perfect fluid and broken 4D Poincare invariance
• The clash between de Sitter and anti-de Sitter space