EXISTE UN TEOREMA CONOCIDO COMO UN TEOREMA DE VIRIAL QUE RESTRINGE LA POSIBLE EXISTENCIA DE ONDAS SOLITARIAS NO TRIVIALES, CON CAMPOS ESCALARES EN UN ESPACIO-TIEMPO PLANO CON 3 O MÁS DIMENSIONES ESPACIALES. ESTO NOS LLEVA A PREGUNTARNOS: ¿LA VERSIÓN ANÁLOGA EN ESPACIO-TIEMPOS CURVOS ES VÁLIDA? EN ESTE ARTÍCULO INVESTIGAMOS LA POSIBILIDAD DE ENCONTRAR SOLITONES EN UN ESPACIO-TIEMPO 4-DIMENSIONAL CURVO, USANDO UN MODELO SIMPLE Y CON AYUDA DE UN ANÁLISIS NUMÉRICO, ENCONTRANDO QUE EXISTE UNA SOLUCIÓN ESTÁTICA DE LA ECUACIÓN DE ONDA NO LINEAL. ESTO PRUEBA QUE EN UN ESPACIO-TIEMPO CURVO ES POSIBLE ENCONTRAR SOLUCIONES SOLITÓNICAS A DIFERENCIA DE UN ESPACIO-TIEMPO PLANO.AbstractTHERE IS A THEOREM KNOWN AS A VIRIAL THEOREM THAT RESTRICTS THE POSSIBLE EXISTENCE OF NON-TRIVIAL STATIC SOLITARY WAVES WITH SCALAR FIELDS IN FLAT SPACE-TIME WITH 3 OR MORE SPATIAL DIMENSIONS. THIS RAISES THE FOLLOWING QUESTION: DOES THE ANALOGOUS CURVED SPACE-TIME VERSION HOLD? WE INVESTIGATE THE POSSIBILITY OF THE SOLITONS IN A 4-D CURVED SPACE-TIME WITH A SIMPLE MODEL USING NUMERICAL ANALYSIS. WE FOUND THAT THERE EXISTS A STATIC SOLUTION OF THE PROPOSED NON LINEAR WAVE EQUATION. THIS PROVES THAT IN CURVED SPACE-TIME THE POSSIBILITIES OF SOLITONIC SOLUTIONS IS ENHANCED RELATIVE TO THE FLAT SPACE-TIME CASE.THERE IS A THEOREM KNOWN AS A VIRIAL THEOREM THAT RESTRICTS THE POSSIBLE EXISTENCE OF NON-TRIVIAL STATIC SOLITARY WAVES WITH SCALAR FIELDS IN FLAT SPACE-TIME WITH 3 OR MORE SPATIAL DIMENSIONS. THIS RAISES THE FOLLOWING QUESTION: DOES THE ANALOGOUS CURVED SPACE-TIME VERSION HOLD? WE INVESTIGATE THE POSSIBILITY OF THE SOLITONS IN A 4-D CURVED SPACE-TIME WITH A SIMPLE MODEL USING NUMERICAL ANALYSIS. WE FOUND THAT THERE EXISTS A STATIC SOLUTION OF THE PROPOSED NON LINEAR WAVE EQUATION. THIS PROVES THAT IN CURVED SPACE-TIME THE POSSIBILITIES OF SOLITONIC SOLUTIONS IS ENHANCED RELATIVE TO THE FLAT SPACE-TIME CASE.