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Non-exact solutions in general relativity are solutions of Albert Einstein's field equations of general relativity which hold only approximately. These solutions are typically found by treating the gravitational field, , as a background space-time, , (which is usually an exact solution) plus some small perturbation, . Then one is able to solve the Einstein field equations as a series in , dropping higher order terms for simplicity. , and dropping all terms which are of second or higher order in .

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  • Las soluciones no exactas en relatividad general son soluciones de las ecuaciones del campo de Einstein de relatividad general que son solo aproximadas. Estas soluciones son típicamente encontradas al tratar el campo gravitacional como un fondo espacio-tiempo, (el cual es normalmente una solución exacta), más alguna perturbación pequeña . Entonces se es capaz de resolver las ecuaciones del campo de Einstein como series en , dejando términos de orden más alto por simplicidad. Un ejemplo común de este método resulta en la aproximación para campos gravitatorios débiles. En este caso, se amplía la métrica del espacio-tiempo sobre el pisoespacio-tiempo de Minkowski, : , y descartando todos los térmicos que sean de orden dos o mayor en .​ (es)
  • Non-exact solutions in general relativity are solutions of Albert Einstein's field equations of general relativity which hold only approximately. These solutions are typically found by treating the gravitational field, , as a background space-time, , (which is usually an exact solution) plus some small perturbation, . Then one is able to solve the Einstein field equations as a series in , dropping higher order terms for simplicity. A common example of this method results in the linearised Einstein field equations. In this case we expand the full space-time metric about the flat Minkowski metric, : , and dropping all terms which are of second or higher order in . (en)
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  • Las soluciones no exactas en relatividad general son soluciones de las ecuaciones del campo de Einstein de relatividad general que son solo aproximadas. Estas soluciones son típicamente encontradas al tratar el campo gravitacional como un fondo espacio-tiempo, (el cual es normalmente una solución exacta), más alguna perturbación pequeña . Entonces se es capaz de resolver las ecuaciones del campo de Einstein como series en , dejando términos de orden más alto por simplicidad. , y descartando todos los térmicos que sean de orden dos o mayor en .​ (es)
  • Non-exact solutions in general relativity are solutions of Albert Einstein's field equations of general relativity which hold only approximately. These solutions are typically found by treating the gravitational field, , as a background space-time, , (which is usually an exact solution) plus some small perturbation, . Then one is able to solve the Einstein field equations as a series in , dropping higher order terms for simplicity. , and dropping all terms which are of second or higher order in . (en)
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  • Soluciones no exactas en relatividad general (es)
  • Non-exact solutions in general relativity (en)
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