Curvature Singularities: the Good, the Bad, and the Naked

By S. Gubser. 2000

545 citations recorded by the source corpus.

Necessary conditions are proposed for the admissibility of singular classical solutions with 3+1-dimensional Poincare invariance to five-dimensional gravity coupled to scalars. Finite temperature considerations and examples from AdS/CFT support the conjecture that the scalar potential must remain bounded above for a solution to be physical. Having imposed some restrictions on naked singularities allows us to comment on a recent proposal for solving the cosmological constant problem.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/31d1830335da4ff4aa797e05a32cdce80d10252b

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Citations in the corpus

Holography and thermodynamics of 5D dilaton-gravity (2008, background): “If we subscribe to the criteria laid out in [29], the no-go theorem above gives another reason to discard these kinds of solutions: in [29] a singular background was considered acceptable if the singularity can be “hidden” behind a regular black-hole horizon by an infinitesimally small deformation o”
The supergravity dual of a theory with dynamical supersymmetry breaking (2001, background): “The final result is the three dimensional k is given by k = k6−N/2. k is the coefficient of the Chern-Simons term appearing in the three dimensional bare Lagrangian, before we integrate out the gluinos.”
Fake supergravity and domain wall stability (2003, unknown): “When d = 4 this is the dilaton domain wall solution of Type IIB supergravity which was found and studied [14, 15, 16] in the early period of the AdS/CFT correspondence.”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, background): “Such solutions are singular in the conventional sense although for δ ∈ (− √ 3, √ 3) (θ < 0 or θ > 3) they satisfy the Gubser bound, [34] and are therefore expected to be resolvable singularities, [1].”
Effective holographic theories for low-temperature condensed matter systems (2010, background): “d by lifting them to higher dimensions or eventually by the inclusion of the stringy states. It was Gubser ﬁrst who asked the question: when is a naked singularity in a solution of an EHT acceptable, [34]? One criterion that he introduced in scalar-tensor backgrounds can be phrased simply as follows”
Superstars and giant gravitons (2001, unknown): “. We fix the value of pi ≡ Pφi/N and after some straightforward calculations, we find the Hamiltonian H(r, µi) = N L √√√√√ ∑ µ2i Hi ( 1 +H1H2H3 r2 L2 ) ∑ 1 Hjµ 2 j ( pj − qjµ2j L2 )2 +H1H2H3 r6 L6 ∑ µ2j Hj”
Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals (2003, background): “We stress that the physical interpretation of naked singularities is a delicate issue, for instance in the light of the analysis of [38].”
Supergravity description of field theories on curved manifolds and a no go theorem (2000, background): “In [27] it was proposed that admissible singularities are those that can be generalized to finite temperature.”
Towards the string dual of N=1 SQCD-like theories (2006, background): “e is an important and signiﬁcant diﬀerence between the singularity in (4.21) and others present in the literature, as the one in (2.14) for example. There is one criterium developed in [25] (see also [26] for other criteria) that suggests a way of deciding when an (IR) singularity in a supergravity ”
Lectures on holographic methods for condensed matter physics (2009, unknown): “Such singularities are discussed in [66].”
Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “Note that such a singularity appears to be of the “good” type allowed by string theory [103, 104].”
Black Hole Remnants and the Information Loss Paradox (2014, background): “Indeed from the view point of string theory, not all singularities are bad, and there can be physically allowable naked singularities in AdS/CFT correspondence [109].”