What are the clinical tests to assess instability?
Aberrant movement on flexion-extension
The standard examination involves documenting the range of movement. The quantitative range of movement may not be as significant as the qualitative range of movement. The important feature of spinal instability is the aberrant motion that occurs when flexing and extending the spine. A catch, a painful arc, supporting the arms on the thighs, or a reversal of the lumbopelvic rhythm when standing from the flexed posture indicates instability.
Passive lumbar extension test
The subject lies on the examination couch. The examiner passively lifts the lower limbs to a height of 30 cm from the couch while maintaining the knee in extension and applying gentle traction on the legs. A positive test is recorded if the patient complains of "pain in the lower back region" or complains of "heaviness in the lower back" or complains that, "the lower back is coming off." These experiences should return to normal when the leg returned to the couch. The passive lumbar extension test has the highest combined sensitivity and specificity and may be comparable to radiological findings to identify lumbosacral structural instability.
The prone instability test
The patient stands at the foot end of the examination couch. The patient then lowers his/her upper body to rest on the examination couch. The iliac crest should rest on the edge of the examination couch. The patient holds the sides of the examination couch for increased stability. In the first part of the test, the feet of the patient is resting on the ground. The examiner with the heel of his/her hand creates a small posterior to anterior thrust at each segment of the lumbar spine. Pain, if experienced by the patient, is recorded. In the second part of the test, the patient is asked to lift the feet of the floor and steady himself /herself by holding onto the sides of the examination couch. The examiner again repeats the posterior to anterior thrust with the heel of his/her hand at each lumbar segment. The test is positive if the pain created in the initial part of the test subsides when the extensor muscles of the spine are tensed by lifting the feet of the floor. (https://www.ncbi.nlm.nih.gov/books/NBK562179/)
Which exercises enhance core stability?
Abdominal crunch
Abdominal crunches are a classic core-strength exercise. To do an abdominal crunch:
Bridge
To improve core strength of many muscles at one time, try a bridge, sometimes called a glute bridge:
Lie on your back with your knees bent. Keep your back in a neutral position, not arched and not pressed into the floor. Try not to tilt your hips. Tighten the abdominal muscles.
Single-leg abdominal press
The single-leg abdominal press is another popular core-strength exercise. To do this exercise:
Double-leg abdominal press variations
These variations of the double-leg abdominal press also build your core strength:
Opposite hands on opposite knees. Place each hand on your opposite knee, toward the inside of your knee. Your arms will cross over each other. Push your hands against your knees while pulling your knees toward your hands. Hold for three deep breaths. Repeat.
Quadruped
This core-strength exercise is called the quadruped and sometimes called the bird dog:
Start on your hands and knees. Place your hands directly below your shoulders, and line up your head and neck with your back. Tighten the abdominal muscles.
Modified plank
Another good core-strength exercise is called the modified plank. In a plank, you raise yourself up on your forearms and feet while keeping your body lined up with your hips. To do a modified plank:
Return to the start position and repeat.
Side plank
The side plank challenges your stability and improves core strength by working the muscles along the side of your body:
Superman
The superman is another core-strength exercise that can help strengthen your lower back:
Lie on your stomach with a rolled towel or a small pillow under your hips to support your back. You also might use a folded towel to support your head. Tighten the abdominal muscles.
(https://www.mayoclinic.org/healthy-lifestyle/fitness/in-depth/core-strength/art-20546851)