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PHYSICS / GENERAL RELATIVITY

Schwarzschild Radius Calculator

Calculate the Schwarzschild characteristic radius of a non-rotating uncharged mass.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

METHOD / WORKED EXAMPLE

Understand Schwarzschild Radius

Calculate the Schwarzschild characteristic radius of a non-rotating uncharged mass. Inputs remain visible so the physical model and units can be checked instead of treated as a black box.

WORKED DEFAULT

Check the calculation with the default inputs

One solar mass, 1.98847 × 10^30 kg, gives a Schwarzschild radius of about 2,953.34 m.

  1. Read the measured inputsM
  2. Apply the physical modelr_s = 2GM/c^2.
  3. Check domain and unitsThe model assumes an isolated, spherical, non-rotating, uncharged mass.

READ THE RESULT

Interpret the output in context

The radius is a spacetime scale and event-horizon coordinate in this ideal solution, not the ordinary surface radius of every object.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • Mass is positive and expressed in kilograms.
  • G and c use SI values.

The model assumes an isolated, spherical, non-rotating, uncharged mass.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

COMMON QUESTIONS

Schwarzschild Radius Calculator FAQs

Which model does Schwarzschild Radius Calculator use?

Multiply mass by twice the gravitational constant and divide by light speed squared. Rotation and charge require different spacetime solutions. The calculator evaluates only the stated idealized equation and supplied values. It does not infer missing conditions, choose an experimental convention, or certify a measurement. Keep every quantity in the displayed unit and verify the model against the physical setup before relying on the result.

How should I interpret the Schwarzschild Radius Calculator result?

The radius is a spacetime scale and event-horizon coordinate in this ideal solution, not the ordinary surface radius of every object. For ordinary bodies, the physical radius is usually far outside this value. Numerical precision does not imply experimental accuracy. Compare the output with scale, sign, limiting cases, and an independent source, then account for uncertainty in measured inputs and constants before using it in laboratory, engineering, or safety-sensitive work.

What is outside the scope of Schwarzschild Radius Calculator?

The model assumes an isolated, spherical, non-rotating, uncharged mass. It does not calculate density, formation, evaporation, or interior structure. The result is educational and is not a simulation, calibration, engineering approval, or safety determination. More complete models may require geometry, material response, boundary conditions, relativistic frames, dispersion, losses, uncertainty propagation, or numerical field solutions not represented by these inputs.

Use boundary

Calculation path

Multiply mass by twice the gravitational constant and divide by light speed squared. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

r_s = 2GM/c^2.