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Lorens F. Niehof

Publications and source records attributed to Lorens F. Niehof.

3 recordsLinked to original sources

Higher-curvature corrections and the endpoint of black hole evaporation in gravitational effective field theory

The endpoint of black hole evaporation remains uncertain once the semiclassical description approaches the Planck scale. In this work we study late-stage evaporation within four-dimensional gravitational effective field theory. We consider the leading local correction to the Schwarzschild solution arising from a cubic curvature operator, and use the corrected geometry to analyze the resulting evaporation dynamics and associated thermodynamic properties. We show that the cubic correction induces a parametric slow-down of the evaporation rate at small masses, which within the truncated theory can appear as a freeze-out at a finite mass scale. We demonstrate that this behavior is not an independent physical prediction, but instead occurs precisely when the dimensionless expansion parameter of the effective theory becomes of order unity. The corresponding mass scale coincides parametrically with the onset of Planckian curvature at the horizon, establishing that the evaporation dynamics provide a direct diagnostic of the breakdown of the effective field theory. A scaling analysis of higher-order curvature operators shows that once the cubic term becomes comparable to the Einstein-Hilbert contribution, generic higher-order terms are no longer parametrically suppressed. The apparent remnant-like behavior therefore arises at the boundary of validity of the effective description rather than within a controlled perturbative regime. These results demonstrate that late-stage evaporation encodes the limits of gravitational effective field theory, providing a dynamical criterion for its breakdown.

gr-qc↗

Freezing lakes as analogue models of $Λ$CDM cosmology and beyond

We extend previous conduction-based analogies between ice growth in a lake and cosmological expansion by incorporating buoyancy-driven heat transport. Reformulating the Stefan problem with both conductive and convective fluxes yields an evolution equation for the ice thickness $s(t)$ that is structurally analogous to the Friedmann equations for the cosmological scale factor $a(t)$. Beyond reproducing radiation-, matter-, and curvature-like behaviors, we introduce a reduced description of convection in which the vertically integrated heat flux reaching the moving ice-water interface is modeled as a power-law function of the instantaneous liquid-layer thickness, generating two additional effective contributions. The first is a constant term, directly analogous to a cosmological constant, arising from the persistence of buoyancy-driven transport under geometric confinement. The second is a $s^{-1}$ contribution originating from the coupling between the moving ice boundary and the convective boundary layer. This term reflects the specific reduced flux-height Ansatz adopted, rather than a universal physical prediction. When expressed in Friedmann-like cosmological form, this term entails a fluid with negative energy density and equation-of-state parameter $w=-2/3$. In cosmology this term may be an effective one associated to a network of domain walls made of exotic energy/matter, but it might also arise from an energy exchange between cosmological components. Overall, the results should be interpreted as a structural analogy between evolution equations, showing how nonlinear transport mechanisms in a classical moving-boundary problem can reproduce the hierarchy of scaling terms familiar from cosmology within a reduced and analytically tractable framework.

gr-qc↗

New class of non-Einstein pp-wave solutions to quadratic gravity

We obtain a new family of exact vacuum solutions to quadratic gravity that describe pp-waves with two-dimensional wave surfaces that can have any prescribed constant curvature. When the wave surfaces are flat we recover the Peres waves obtained by Madsen, a subset of which forms precisely the vacuum pp-waves of general relativity. If, on the other hand, the wave surfaces have non-vanishing constant curvature then all our solutions are non-Einstein (i.e. they do not solve Einstein's equations in vacuum, with or without cosmological constant) and we find that the curvature is linearly related to the value of the cosmological constant. We show that the vacuum field equations reduce to a simple linear biharmonic equation on the curved wave surfaces, and as consequence, the general solution can be written down. We also provide some simple explicit examples.

gr-qc↗