On the gravitational field of a mass point according to Einstein's theory

Abstract

Translation by S. Antoci and A. Loinger of the fundamental memoir, that contains the ORIGINAL form of the solution of Schwarzschild's problem. The solution is regular in the whole space-time, with the only exception of the origin of the spatial co-ordinates; consequently, it leaves no room for the science fiction of the black holes. (In the centuries of the decline of the Roman Empire people said: ``Graecum est, non legitur''...).

Plain TeX, 7 pages, English translation of the original paper by K. Schwarzschild

Cited by in corpus (90)

• Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image
• Wormholes as Black Hole Foils
• The Kerr Metric
• Black holes in an asymptotically safe gravity theory with higher derivatives
• Correspondence between grey-body factors and quasinormal modes
• The universality of islands outside the horizon
• The Large D Limit of Einstein's Equations
• Semiclassical Unimodular Gravity
• Astrophysically relevant bound trajectories around a Kerr black hole
• Probing the Particle Spectrum of Nature with Evaporating Black Holes
• Hawking fragmentation and Hawking attenuation in Weyl semimetals
• The entropy of black holes: a primer
• Bardeen solution with a cloud of strings
• Scalarized Black Holes in Teleparallel Gravity
• Search for microscopic black holes and string balls in final states with leptons and jets with the ATLAS detector at sqrt(s) = 8 TeV
• The Power of Action: "The" Derivation of the Black Hole Negative Mode
• Quantum gravity effects in Myers-Perry space-times
• Stereoscopic visualization in curved spacetime: seeing deep inside a black hole
• Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
• Primordial Black Holes from First-Order Cosmological Phase Transitions
• Regular multihorizon black holes in General Relativity
• Point massive particle in General Relativity
• The interior structure of rotating black holes 2. Uncharged black holes
• Energy-Momentum Squared Gravity: A Brief Overview
• The Vaidya metric: expected and unexpected traits of evaporating black holes
• Killing horizons and surface gravities for a well-behaved three-function generalisation of the Kerr spacetime
• Advances in Machine and Deep Learning for Modeling and Real-time Detection of Multi-Messenger Sources
• Rotating Solutions in Critical Lovelock Gravities
• Anisotropic relativistic fluid spheres with a linear equation of state
• Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
• Influence of plasma on the optical appearance of spinning black hole in Kalb-Ramond gravity and its Existence around M87* and Sgr A*
• Spherically symmetric elastic bodies in general relativity
• Spherically symmetric solutions in torsion bigravity
• The extremal Reissner-Nordström black holes: an exact charged scalar quasiresonance
• An Overview of Compact Star Populations and Some of Its Open Problems
• 4-Dimensional optics, an alternative to relativity
• Optical analogue of the Schwarzschild-Planck metric
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• Charged scalar-tensor solitons and black holes with (approximate) Anti-de Sitter asymptotics
• Non-vanishing of tidal Love numbers
• On the black hole species (by means of natural selection)
• Time Machines and AdS Solitons with Negative Mass
• Black-Hole Solutions to Einstein's Equations in the Presence of Matter and Modifications of Gravitation in Extra Dimensions
• A regular metric does not ensure the regularity of spacetime
• An analytical computation of asymptotic Schwarzschild quasinormal frequencies
• Global embeddings of BTZ and Schwarzschild-AdS type black holes in a flat space
• "Time"-covariant Schrödinger equation and the canonical quantization of the Reissner-Nordström black hole
• Scalar tachyonic instabilities in gravitational backgrounds: Existence and growth rate
• A Locally Anisotropic Metric for Matter in an Expanding Universe: I. The Ansatz and the Modified Newton Law
• Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
• Free-fall Rainbow BTZ Black Hole
• A polynomial affine model of gravity: after ten years
• ISCOs and OSCOs in the presence of a positive cosmological constant in massive gravity
• Higher-Curvature Gravity, Black Holes and Holography
• Orbits in a stochastic Schwarzschild geometry
• Strange Horizons: Understanding Causal Barriers Beyond General Relativity
• On the anomalies of gravity
• Relativistic Reflection Modeling in AGN and Related Variability from PCA: A Brief Review
• Black Holes and Wormholes in Higher-Curvature Corrected Theories of Gravity
• Einstein's hole argument and Schwarzschild singularities
• Relativistic structure of a supermassive black hole embedded in the dark matter halo of NGC 4649 (M60)
• Supermassive black hole in NGC 4649 (M60) with a dark matter halo: Impact on shadow measurements and thermodynamic properties
• Binary X-ray sources in massive Brans-Dicke gravity
• Decoupled Quark Stars Relativistic Models in the Regime of Self-interacting Brans-Dicke Gravity
• Is it possible to distinguish between different black hole solutions using the Shapiro time delay?
• Gravitation: from Newton to Einstein
• Astrophysical black holes
• A New Action-Derived Form of The Black Hole Metric
• Deformations of anti-de Sitter black holes
• What's inside a hairy black hole in massive gravity?
• The gravitational analogue to the hydrogen atom (A summer study at the borders of quantum mechanics and general relativity)
• Some Comments on the Tests of General Relativity
• Planetary motion on an expanding locally anisotropic background
• Black hole graviton and quantum gravity
• An Exact Solution of the Einstein Equations Without Singularities and Experimental Tests of the Existence of Black Holes
• Master Functions and Equations for Perturbations of Vacuum Spherically-Symmetric Spacetimes
• Studies on Thin-shells and Thin-shell Wormholes
• On the Geometric Meaning of General Relativity and the Foundations of Newtonian Cosmology
• Black Holes and Baryon Number Violation: Unveiling the Origins of Early Galaxies and the Low-Mass Gap
• Taking Cognition Seriously: A generalised physics of cognition
• Time-covariant Schrödinger equation and invariant decay probability: The $\Lambda$-Kantowski-Sachs universe
• A fresh look at some questions surrounding black holes
• Recurrent Instability in LMXB Accretion Disks: How Strange is GRS 1915+105?
• Understanding the wicked world that surrounds you
• On the generalization of the Schwarzschild and de Sitter Static Solutions With and Without Singularities
• Classical General Relativity Effects to Second Order in Mass, Spin, and Quadrupole Moment
• A derivative-free optimization method to compute scalar perturbation of AdS black holes
• On the absence of black hole event horizons: a test of De Sitter Yang-Mills Theory
• Relativistic Quantum Communication
• Black hole solutions of modified gravity theories