A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
Zhao,Analytical models for galactic nuclei,Mon
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
I present a general family of dynamical models with simple analytical potential-density pairs suited to model galactic bulges and nuclei with double power-law radial density profiles and an optional central black hole. Analytical expressions for the potential and velocity dispersion of these models are given in the spherical case. Many previously known analytical spherical models, including also the recent $\gamma / \eta$-models by Dehnen (1993) and Tremaine et al. (1994), are special cases of this family. This family also forms a complete set for constructing general galaxy models or solving Poisson's equation in the non-spherical case. In particular, a generalized Clutton-Brock (1973) and Hernquist-Ostriker (1992) orthogonal basis set is given.
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UNVERDICTED 6representative citing papers
Milky Way radial and vertical dynamics are inconsistent with MOND and STVG but consistent with dark matter halos, disfavoring the former at high significance.
Numerical ringdown waveforms for black holes in Dehnen dark matter profiles are generated and analyzed for detectability and parameter inference using second-generation TDI in space-based detectors such as LISA, Taiji, and TianQin.
ANTARES Galactic Ridge neutrino measurements can constrain annihilating and decaying dark matter for various masses and profiles while comparing to astrophysical backgrounds, with forecasts for future observatories.
Bayesian comparison of Gaia DR3 rotation curves favors the Einasto dark matter profile over NFW, prefers cored over cuspy profiles, and finds MOND variants provide poorer fits than the best dark matter models.
A review summarizing current observational, experimental, and theoretical results on dark matter.
citing papers explorer
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Families of regular spacetimes and energy conditions
A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
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Milky Way Dynamics Favor Dark Matter over Modified Gravity Models
Milky Way radial and vertical dynamics are inconsistent with MOND and STVG but consistent with dark matter halos, disfavoring the former at high significance.
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Ringdown Signatures of Dehnen Dark Matter Halos: Fluid Modes and Detectability with Space-Based Detectors
Numerical ringdown waveforms for black holes in Dehnen dark matter profiles are generated and analyzed for detectability and parameter inference using second-generation TDI in space-based detectors such as LISA, Taiji, and TianQin.
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The potential of diffuse Galactic Ridge neutrino measurements to constrain dark matter
ANTARES Galactic Ridge neutrino measurements can constrain annihilating and decaying dark matter for various masses and profiles while comparing to astrophysical backgrounds, with forecasts for future observatories.
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Determination of the best dark matter profile for the Milky Way with Gaia DR3 using Bayesian Model Comparison
Bayesian comparison of Gaia DR3 rotation curves favors the Einasto dark matter profile over NFW, prefers cored over cuspy profiles, and finds MOND variants provide poorer fits than the best dark matter models.
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Dark Matter
A review summarizing current observational, experimental, and theoretical results on dark matter.